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The generalized homotopy axiom and its consistency with Alexandroff-Čech cohomology theory.

Let T be a connected compact metric space, r,s ∈ T be two points, and X be a locally compact paracompact space. We prove that the mappings φr, φs: X → X × T, defined by φt(x) = (x,t) for t=r, s ∈ T, induce the same homomorphisms of Alexandroff-Čech cohomology if and only if the following natural hom...

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Autore principale: Umed Karimov
Natura: Artigo
Lingua:Inglês
Pubblicazione: Odesa National University of Technology 2025-11-01
Serie:Pracì Mìžnarodnogo Geometričnogo Centru
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Accesso online:https://journals.ontu.edu.ua/index.php/geometry/article/view/3068
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