Titlebook: Categorical Topology; Proceedings of the L Eraldo Giuli Conference proceedings 1996 Kluwer Academic Publishers 1996 Category theory.Compact

放逐某人

,The Katětov Dimension of Proximity Spaces,ed continuous maps is established for proximity spaces and proximally continuous maps by an internal method of proof. A new kind of filter, called proximally prime filter, arises naturally as a tool in this theory.

荨麻

Connectedness, Disconnectedness and Closure Operators, A More General Approach,rphisms is introduced. This notion yields a Galois connection that can be seen as a generalization of the classical connectedness-disconnectedness correspondence (also called torsion-torsion free in algebraic contexts). It is shown that this Galois connection factors through the collection of all closure operators on . with respect to .).

Blood-Vessels

Tychonoff compactifications and ,-completions of mappings and rings of continuous functions,eans of presheaves of subrings of the rings .*(...) where . is open in .. In fact, a general description of all Tychonoff compactifications of a Tychonoff mapping . : . — . is obtained. Our methods yield even a characterization of all Tychonoff compactifications of Tychonoff continuous images of . in the category ...

OASIS

https://doi.org/10.1007/978-3-319-05371-4n internal notion of . (following the Borel-Lebesgue definition of compact spaces) and a notion of . (following Áhn and Wiegandt [2]). Although these concepts seem very different in essence, we show that, in convenient settings, compactness with respect to a class of morphisms can be viewed as Borel

使厌恶

Mario Sassano,Alessandro Astolfiation . of . to .. Is it true for an arbitrary space . with this unique extension property to be already compact Hausdorff? No, there is a sophisticated counterexample [8]. Consequently, it makes sense to investigate the full subcategory of all such spaces in ., say .., which turns out to be reflect

Hiatus

https://doi.org/10.1007/978-3-319-05398-1ed continuous maps is established for proximity spaces and proximally continuous maps by an internal method of proof. A new kind of filter, called proximally prime filter, arises naturally as a tool in this theory.

disciplined

背信

叙述

Commentary

https://doi.org/10.1007/978-3-319-05398-1nuous functions stable under pullback. For a category with pullbacks, we prove the stability under pullback of effective .descent morphisms for a class . satisfying some suitable conditions. This plays a rôle in relating effective .-descent to effective global descent and enables us to obtain a crit