Inclusion Map

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John Guaschi - One of the best experts on this subject based on the ideXlab platform.

  • On the homotopy fibre of the Inclusion Map F_n(X) → ∏_1^n X for some orbit spaces X
    Boletin de la Sociedad Matematica Mexicana, 2017
    Co-Authors: Marek Golasinski, Daciberg Lima Gonçalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homo-topy fibre of the Inclusion Map F_n(X) → ∏_1^n X for the n-th configuration space F_n(X) of a topological manifold X without boundary such that dim(X) ≥ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map F_n(S^k/G) → ∏_1^n S^k/G.

  • on the homotopy fibre of the Inclusion Map f_n x _1 n x for some orbit spaces x
    Boletin De La Sociedad Matematica Mexicana, 2017
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homo-topy fibre of the Inclusion Map F_n(X) → ∏_1^n X for the n-th configuration space F_n(X) of a topological manifold X without boundary such that dim(X) ≥ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map F_n(S^k/G) → ∏_1^n S^k/G.

  • on the homotopy fibre of the Inclusion Map f_n x hookrightarrow prod _1 nx f n x 1 n x for some orbit spaces x
    Boletin De La Sociedad Matematica Mexicana, 2017
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homotopy fibre of the Inclusion Map $$F_n(X)\hookrightarrow \prod _1^nX$$ for the nth configuration space $$F_n(X)$$ of a topological manifold X without boundary such that $$\mathrm{{dim}}(X)\ge 3$$ . We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space $$\mathbb {S}^k/G$$ of a tame, free action of a Lie group G on the k-sphere $$\mathbb {S}^k$$ . If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map $$F_n(\mathbb {S}^k/G)\hookrightarrow \prod _1^n\mathbb {S}^k/G$$ .

  • On the homotopy fibre of the Inclusion Map $$F_n(X)\hookrightarrow \prod _1^nX$$ F n ( X ) ↪ ∏ 1 n X for some orbit spaces X
    Boletín de la Sociedad Matemática Mexicana, 2016
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homotopy fibre of the Inclusion Map $$F_n(X)\hookrightarrow \prod _1^nX$$ for the nth configuration space $$F_n(X)$$ of a topological manifold X without boundary such that $$\mathrm{{dim}}(X)\ge 3$$ . We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space $$\mathbb {S}^k/G$$ of a tame, free action of a Lie group G on the k-sphere $$\mathbb {S}^k$$ . If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map $$F_n(\mathbb {S}^k/G)\hookrightarrow \prod _1^n\mathbb {S}^k/G$$ .

  • On the homotopy fibre of the Inclusion Map F\_n(X) $\rightarrow$ $\prod$\_1^n X for some orbit spaces X
    arXiv: Geometric Topology, 2016
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homo-topy fibre of the Inclusion Map F\_n(X) $\rightarrow$ $\prod$\_1^n X for the n-th configuration space F\_n(X) of a topological manifold X without boundary such that dim(X) $\ge$ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map F\_n(S^k/G) $\rightarrow$ $\prod$\_1^n S^k/G.

Marek Golasinski - One of the best experts on this subject based on the ideXlab platform.

  • On the homotopy fibre of the Inclusion Map F_n(X) → ∏_1^n X for some orbit spaces X
    Boletin de la Sociedad Matematica Mexicana, 2017
    Co-Authors: Marek Golasinski, Daciberg Lima Gonçalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homo-topy fibre of the Inclusion Map F_n(X) → ∏_1^n X for the n-th configuration space F_n(X) of a topological manifold X without boundary such that dim(X) ≥ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map F_n(S^k/G) → ∏_1^n S^k/G.

  • on the homotopy fibre of the Inclusion Map f_n x _1 n x for some orbit spaces x
    Boletin De La Sociedad Matematica Mexicana, 2017
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homo-topy fibre of the Inclusion Map F_n(X) → ∏_1^n X for the n-th configuration space F_n(X) of a topological manifold X without boundary such that dim(X) ≥ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map F_n(S^k/G) → ∏_1^n S^k/G.

  • on the homotopy fibre of the Inclusion Map f_n x hookrightarrow prod _1 nx f n x 1 n x for some orbit spaces x
    Boletin De La Sociedad Matematica Mexicana, 2017
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homotopy fibre of the Inclusion Map $$F_n(X)\hookrightarrow \prod _1^nX$$ for the nth configuration space $$F_n(X)$$ of a topological manifold X without boundary such that $$\mathrm{{dim}}(X)\ge 3$$ . We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space $$\mathbb {S}^k/G$$ of a tame, free action of a Lie group G on the k-sphere $$\mathbb {S}^k$$ . If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map $$F_n(\mathbb {S}^k/G)\hookrightarrow \prod _1^n\mathbb {S}^k/G$$ .

  • On the homotopy fibre of the Inclusion Map $$F_n(X)\hookrightarrow \prod _1^nX$$ F n ( X ) ↪ ∏ 1 n X for some orbit spaces X
    Boletín de la Sociedad Matemática Mexicana, 2016
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homotopy fibre of the Inclusion Map $$F_n(X)\hookrightarrow \prod _1^nX$$ for the nth configuration space $$F_n(X)$$ of a topological manifold X without boundary such that $$\mathrm{{dim}}(X)\ge 3$$ . We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space $$\mathbb {S}^k/G$$ of a tame, free action of a Lie group G on the k-sphere $$\mathbb {S}^k$$ . If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map $$F_n(\mathbb {S}^k/G)\hookrightarrow \prod _1^n\mathbb {S}^k/G$$ .

  • On the homotopy fibre of the Inclusion Map F\_n(X) $\rightarrow$ $\prod$\_1^n X for some orbit spaces X
    arXiv: Geometric Topology, 2016
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homo-topy fibre of the Inclusion Map F\_n(X) $\rightarrow$ $\prod$\_1^n X for the n-th configuration space F\_n(X) of a topological manifold X without boundary such that dim(X) $\ge$ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map F\_n(S^k/G) $\rightarrow$ $\prod$\_1^n S^k/G.

Daciberg Lima Goncalves - One of the best experts on this subject based on the ideXlab platform.

  • on the homotopy fibre of the Inclusion Map f_n x _1 n x for some orbit spaces x
    Boletin De La Sociedad Matematica Mexicana, 2017
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homo-topy fibre of the Inclusion Map F_n(X) → ∏_1^n X for the n-th configuration space F_n(X) of a topological manifold X without boundary such that dim(X) ≥ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map F_n(S^k/G) → ∏_1^n S^k/G.

  • on the homotopy fibre of the Inclusion Map f_n x hookrightarrow prod _1 nx f n x 1 n x for some orbit spaces x
    Boletin De La Sociedad Matematica Mexicana, 2017
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homotopy fibre of the Inclusion Map $$F_n(X)\hookrightarrow \prod _1^nX$$ for the nth configuration space $$F_n(X)$$ of a topological manifold X without boundary such that $$\mathrm{{dim}}(X)\ge 3$$ . We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space $$\mathbb {S}^k/G$$ of a tame, free action of a Lie group G on the k-sphere $$\mathbb {S}^k$$ . If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map $$F_n(\mathbb {S}^k/G)\hookrightarrow \prod _1^n\mathbb {S}^k/G$$ .

  • On the homotopy fibre of the Inclusion Map $$F_n(X)\hookrightarrow \prod _1^nX$$ F n ( X ) ↪ ∏ 1 n X for some orbit spaces X
    Boletín de la Sociedad Matemática Mexicana, 2016
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homotopy fibre of the Inclusion Map $$F_n(X)\hookrightarrow \prod _1^nX$$ for the nth configuration space $$F_n(X)$$ of a topological manifold X without boundary such that $$\mathrm{{dim}}(X)\ge 3$$ . We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space $$\mathbb {S}^k/G$$ of a tame, free action of a Lie group G on the k-sphere $$\mathbb {S}^k$$ . If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map $$F_n(\mathbb {S}^k/G)\hookrightarrow \prod _1^n\mathbb {S}^k/G$$ .

  • On the homotopy fibre of the Inclusion Map F\_n(X) $\rightarrow$ $\prod$\_1^n X for some orbit spaces X
    arXiv: Geometric Topology, 2016
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homo-topy fibre of the Inclusion Map F\_n(X) $\rightarrow$ $\prod$\_1^n X for the n-th configuration space F\_n(X) of a topological manifold X without boundary such that dim(X) $\ge$ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map F\_n(S^k/G) $\rightarrow$ $\prod$\_1^n S^k/G.

  • on the homotopy fibre of the Inclusion Map f _n x rightarrow prod _1 n x for some orbit spaces x
    arXiv: Geometric Topology, 2016
    Co-Authors: Marek Golasinski, Daciberg Lima Goncalves, John Guaschi
    Abstract:

    Under certain conditions, we describe the homotopy type of the homo-topy fibre of the Inclusion Map F\_n(X) $\rightarrow$ $\prod$\_1^n X for the n-th configuration space F\_n(X) of a topological manifold X without boundary such that dim(X) $\ge$ 3. We then apply our results to the cases where either the universal covering of X is contractible or X is an orbit space S^k/G of a tame, free action of a Lie group G on the k-sphere S^k. If the group G is finite and k is odd, we give a full description of the long exact sequence in homotopy of the homotopy fibration of the Inclusion Map F\_n(S^k/G) $\rightarrow$ $\prod$\_1^n S^k/G.

Neslihan Ayşen Özkirişçi - One of the best experts on this subject based on the ideXlab platform.

  • A Sheaf on the Quasi-Primary Spectrum of a Commutative Ring
    arXiv: Commutative Algebra, 2017
    Co-Authors: Zehra Bilgin, Neslihan Ayşen Özkirişçi
    Abstract:

    In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called quasi-primary spectrum. Some topological properties of this space are examined. Further, a sheaf of rings on the quasi-primary spectrum is constructed and it is shown that this sheaf is the direct image sheaf with respect to the Inclusion Map from the prime spectrum of a ring to the quasi-primary spectrum of the same ring.

  • Quasi-Primary Spectrum of a Commutative Ring and a Sheaf of Rings
    arXiv: Commutative Algebra, 2017
    Co-Authors: Zehra Bilgin, Neslihan Ayşen Özkirişçi
    Abstract:

    In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called quasi-primary spectrum. Some topological properties of this space are examined. Further, a sheaf of rings on the quasi-primary spectrum is constructed and it is shown that this sheaf is the direct image sheaf with respect to the Inclusion Map from the prime spectrum of a ring to the quasi-primary spectrum of the same ring.

Zehra Bilgin - One of the best experts on this subject based on the ideXlab platform.

  • A Sheaf on the Quasi-Primary Spectrum of a Commutative Ring
    arXiv: Commutative Algebra, 2017
    Co-Authors: Zehra Bilgin, Neslihan Ayşen Özkirişçi
    Abstract:

    In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called quasi-primary spectrum. Some topological properties of this space are examined. Further, a sheaf of rings on the quasi-primary spectrum is constructed and it is shown that this sheaf is the direct image sheaf with respect to the Inclusion Map from the prime spectrum of a ring to the quasi-primary spectrum of the same ring.

  • Quasi-Primary Spectrum of a Commutative Ring and a Sheaf of Rings
    arXiv: Commutative Algebra, 2017
    Co-Authors: Zehra Bilgin, Neslihan Ayşen Özkirişçi
    Abstract:

    In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called quasi-primary spectrum. Some topological properties of this space are examined. Further, a sheaf of rings on the quasi-primary spectrum is constructed and it is shown that this sheaf is the direct image sheaf with respect to the Inclusion Map from the prime spectrum of a ring to the quasi-primary spectrum of the same ring.