Exaltation
发表于 2025-3-21 16:55:24
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jungle
发表于 2025-3-21 21:28:38
Reflective Relatives of Adjunctions,ation . 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
Oratory
发表于 2025-3-22 03:16:05
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OREX
发表于 2025-3-22 06:40:25
Generalized Reflective cum Coreflective Classes in Top and Unif,eflective or projective, is investigated in a more general setting using cone and cocone modifications of the classes used in the problem. We look also at the problem for uniform spaces. Typical results: There is no nontrivial multiprojective and orthogonal class of topological spaces; There is a re
Adulterate
发表于 2025-3-22 12:42:31
On the Largest Coreflective Cartesian Closed Subconstruct of ,,struct of .. This implies that in any coreflective subconstruct of ., exponential objects are finitely generated. Moreover, in any finitely productive, coreflective subconstruct, exponential objects are precisely those objects of the subconstruct that are finitely generated. We give a counterexample
helper-T-cells
发表于 2025-3-22 15:31:14
,α-Sober Spaces via the Orthogonal Closure Operator,ober spaces. Here, we define α-sober space for each α ⩾ 2 in such a way that the reflective hull of α in ... is the subcategory of α-sober spaces. Moreover, we obtain an order-preserving bijective correspondence between a proper class of ordinals and the corresponding (epi)reflective hulls. Our main
helper-T-cells
发表于 2025-3-22 21:06:57
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Cursory
发表于 2025-3-22 21:13:38
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 cl
AVOW
发表于 2025-3-23 02:59:57
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Mucosa
发表于 2025-3-23 05:49:54
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 . i