放逐某人
发表于 2025-3-26 23:56:17
,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
发表于 2025-3-27 04:29:24
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
发表于 2025-3-27 06:39:47
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
发表于 2025-3-27 11:49:08
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 ). 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
发表于 2025-3-27 14:46:08
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 . Consequently, it makes sense to investigate the full subcategory of all such spaces in ., say .., which turns out to be reflect
Hiatus
发表于 2025-3-27 19:45:01
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
发表于 2025-3-28 00:36:59
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背信
发表于 2025-3-28 04:55:05
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叙述
发表于 2025-3-28 06:55:03
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Commentary
发表于 2025-3-28 11:11:44
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