Proper absolute extensors

2023/03/06 by Vesko Valov, Valov, Vesko · 1 citation
Mathematics · #54C20 #54F45 #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2303.02825

openalex publication_date 2023/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the proper absolute (neighborhood) extensors for the class of at most n-dimensional spaces, notation \rmA(N)E_p(n). For example, the unique locally compact n-dimensional separable metric space X∈\rmAE_p(n) satisfiyng the \rmDDⁿP-property is the n-dimensional Menger compactum without a point. Non-metrizable \rmA(N)E_p(n)-spaces are also described.

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• Homology manifolds and homogeneous compacta

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