Ring epimorphisms and .
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Barr, Michael, Burgess, W. D., Raphael, R. (2003)
Theory and Applications of Categories [electronic only]
Barr, Michael, Kennison, John F., Raphael, R. (2009)
Theory and Applications of Categories [electronic only]
Shinji Kawaguchi, Ryoken Sokei (2005)
Commentationes Mathematicae Universitatis Carolinae
Paracompactness (-paracompactness) and normality of a subspace in a space defined by Arhangel’skii and Genedi [4] are fundamental in the study of relative topological properties ([2], [3]). These notions have been investigated by primary using of the notion of weak - or weak -embeddings, which are extension properties of functions defined in [2] or [18]. In fact, Bella and Yaschenko [8] characterized Tychonoff spaces which are normal in every larger Tychonoff space, and this result is essentially...
W. Wistar Comfort, Liam O'Callaghan (1978)
Mathematische Zeitschrift
Alessandro Caterino (1985)
Commentationes Mathematicae Universitatis Carolinae
Jason Gait (1977)
Mathematische Annalen
Jorge Galindo, Salvador Hernández (1999)
Fundamenta Mathematicae
Let G be a maximally almost periodic (MAP) Abelian group and let ℬ be a boundedness on G in the sense of Vilenkin. We study the relations between ℬ and the Bohr topology of G for some well known groups with boundedness (G,ℬ). As an application, we prove that the Bohr topology of a topological group which is topologically isomorphic to the direct product of a locally convex space and an -group, contains “many” discrete C-embedded subsets which are C*-embedded in their Bohr compactification. This...
A. Dorantes-Aldama, R. Rojas-Hernández, Á. Tamariz-Mascarúa (2015)
Topological Algebra and its Applications
In the set of compactifications of X we consider the partial pre-order defined by (W, h) ≤X (Z, g) if there is a continuous function f : Z ⇢ W, such that (f ∘ g)(x) = h(x) for every x ∈ X. Two elements (W, h) and (Z, g) of K(X) are equivalent, (W, h) ≡X (Z, g), if there is a homeomorphism h : W ! Z such that (f ∘ g)(x) = h(x) for every x ∈ X. We denote by K(X) the upper semilattice of classes of equivalence of compactifications of X defined by ≤X and ≡X. We analyze in this article K(Cp(X, Y)) where...
Daniel Bernal-Santos (2016)
Commentationes Mathematicae Universitatis Carolinae
A space is said to have the Rothberger property (or simply is Rothberger) if for every sequence of open covers of , there exists for each such that . For any , necessary and sufficient conditions are obtained for to have the Rothberger property when is a Mrówka mad family and, assuming CH (the Continuum Hypothesis), we prove the existence of a maximal almost disjoint family for which the space is Rothberger for all .
Salvador García-Ferreira, Y. F. Ortiz-Castillo (2015)
Commentationes Mathematicae Universitatis Carolinae
Let be the subspace of consisting of all weak -points. It is not hard to see that is a pseudocompact space. In this paper we shall prove that this space has stronger pseudocompact properties. Indeed, it is shown that is a -pseudocompact space for all .
Bustamante, Jorge, Montalvo, Francisco (2000)
Mathematica Pannonica
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