The Experts below are selected from a list of 14967 Experts worldwide ranked by ideXlab platform
Laureano Lambán - One of the best experts on this subject based on the ideXlab platform.
-
A tensor-hom adjunction in a topos related to vector topologies and bornologies ☆
Journal of Pure and Applied Algebra, 2000Co-Authors: Luis Español, Laureano LambánAbstract:Abstract In this paper, N = N ∪{∞} is the One-Point Compactification of the discrete space of natural numbers, M is the monoid of continuous maps f : N → N such that f (∞)=∞, and M is the topos of M -sets. We define two sheaf subtoposes C and B of M and construct a tensor-hom adjunction between certain categories of modules in C and B . Finally, we prove that this construction induces an adjunction between adequate categories of topological and bornological real vector spaces.
-
A tensor-hom adjunction in a topos related to vector topologies and bornologies
Journal of Pure and Applied Algebra, 2000Co-Authors: Luis Español, Laureano LambánAbstract:AbstractIn this paper, N=N∪{∞} is the One-Point Compactification of the discrete space of natural numbers, M is the monoid of continuous maps f:N→N such that f(∞)=∞, and M is the topos of M-sets. We define two sheaf subtoposes C and B of M and construct a tensor-hom adjunction between certain categories of modules in C and B. Finally, we prove that this construction induces an adjunction between adequate categories of topological and bornological real vector spaces
Joel Feinstein - One of the best experts on this subject based on the ideXlab platform.
-
Strong Ditkin algebras without bounded relative units
International Journal of Mathematics and Mathematical Sciences, 1999Co-Authors: Joel FeinsteinAbstract:In a previous note the author gave an example of a strong Ditkin algebra which does not have bounded relative units in the sense of Dales. In this note we investigate a certain family of Banach function algebras on the one point Compactification of ℕ, and see that within this family are many easier examples of strong Ditkin algebras without bounded relative units in the sense of Dales.
-
Strong Ditkin algebras without bounded relative units
arXiv: Functional Analysis, 1998Co-Authors: Joel FeinsteinAbstract:In a previous note the author gave an example of a strong Ditkin algebra which does not have bounded relative units in the sense of Dales. In this note we investigate a certain family of Banach function algebras on the one point Compactification of the natural numbers, and see that within this family are many easier examples of strong Ditkin algebras without bounded relative units in the sense of Dales.
Lamia Jaafar Belaid - One of the best experts on this subject based on the ideXlab platform.
-
Weakly submaximal spaces and Compactifications
Arabian Journal of Mathematics, 2017Co-Authors: Monerah Al Hajri, Karim Belaid, Lamia Jaafar BelaidAbstract:In this paper, we characterize spaces such that their One-Point Compactification (resp., Herrlich Compactification) is weakly submaximal. We also establish a necessary and sufficient condition on $$T_{0}$$ T 0 -spaces in order to get their One-Point Compactification (resp., Herrlich Compactification) $$T_{D}$$ T D -spaces.
Luis Español - One of the best experts on this subject based on the ideXlab platform.
-
A tensor-hom adjunction in a topos related to vector topologies and bornologies ☆
Journal of Pure and Applied Algebra, 2000Co-Authors: Luis Español, Laureano LambánAbstract:Abstract In this paper, N = N ∪{∞} is the One-Point Compactification of the discrete space of natural numbers, M is the monoid of continuous maps f : N → N such that f (∞)=∞, and M is the topos of M -sets. We define two sheaf subtoposes C and B of M and construct a tensor-hom adjunction between certain categories of modules in C and B . Finally, we prove that this construction induces an adjunction between adequate categories of topological and bornological real vector spaces.
-
A tensor-hom adjunction in a topos related to vector topologies and bornologies
Journal of Pure and Applied Algebra, 2000Co-Authors: Luis Español, Laureano LambánAbstract:AbstractIn this paper, N=N∪{∞} is the One-Point Compactification of the discrete space of natural numbers, M is the monoid of continuous maps f:N→N such that f(∞)=∞, and M is the topos of M-sets. We define two sheaf subtoposes C and B of M and construct a tensor-hom adjunction between certain categories of modules in C and B. Finally, we prove that this construction induces an adjunction between adequate categories of topological and bornological real vector spaces
Dmitry N. Kozlov - One of the best experts on this subject based on the ideXlab platform.
-
A comparison of Vassiliev and Ziegler–Živaljević models for homotopy types of subspace arrangements
Topology and its Applications, 2002Co-Authors: Dmitry N. KozlovAbstract:Abstract In this paper we represent the Vassiliev model for the homotopy type of the One-Point Compactification of subspace arrangements as a homotopy colimit of an appropriate diagram over the nerve complex of the intersection semilattice of the arrangement. Furthermore, using a generalization of simplicial collapses to diagrams of topological spaces over simplicial complexes, we construct an explicit deformation retraction from the Vassiliev model to the Ziegler–Živaljevic model.
-
A comparison of Vassiliev and Ziegler-Zivaljevic models for homotopy types of subspace arrangements
arXiv: Combinatorics, 2001Co-Authors: Dmitry N. KozlovAbstract:In this paper we represent the Vassiliev model for the homotopy type of the One-Point Compactification of subspace arrangements as a homotopy colimit of an appropriate diagram over the nerve complex of the intersection semilattice of the arrangement. Furthermore, using a generalization of simplicial collapses to diagrams of topological spaces over simplicial complexes, we construct an explicit deformation retraction from the Vassiliev model to the Ziegler-Zivaljevic model.
