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S -categories

Miroslav Hušek (1964)

Commentationes Mathematicae Universitatis Carolinae

Samuel compactification and uniform coreflection of nearness σ -frames

Inderasan Naidoo (2006)

Czechoslovak Mathematical Journal

We introduce the structure of a nearness on a σ -frame and construct the coreflection of the category 𝐍 σ F r m of nearness σ -frames to the category 𝐊 R e g σ F r m of compact regular σ -frames. This description of the Samuel compactification of a nearness σ -frame is in analogy to the construction by Baboolal and Ori for nearness frames in [1] and that of Walters for uniform σ -frames in [11]. We also construct the uniform coreflection of a nearness σ -frame, that is, the coreflection of the category of 𝐍 σ F r m to the category...

Semiconvex compacta

Oleh R. Nykyforchyn (1997)

Commentationes Mathematicae Universitatis Carolinae

We define and investigate a generalization of the notion of convex compacta. Namely, for semiconvex combination in a semiconvex compactum we allow the existence of non-trivial loops connecting a point with itself. It is proved that any semiconvex compactum contains two non-empty convex compacta, the center and the weak center. The center is the largest compactum such that semiconvex combination induces a convex structure on it. The convex structure on the weak center does not necessarily coincide...

Set functors

Václav Koubek (1971)

Commentationes Mathematicae Universitatis Carolinae

Sheaves on a quantale

Francis Borceux, Rosanna Cruciani (1993)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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