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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| Autor principal: | |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
Odesa National University of Technology
2025-11-01
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| coleção: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Assuntos: | |
| Acesso em linha: | https://journals.ontu.edu.ua/index.php/geometry/article/view/3068 |
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