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Homological characterizations of $Q$-manifolds and $l_2$-manifolds

Volume 259 / 2022

Alexandre Karassev, Vesko Valov Fundamenta Mathematicae 259 (2022), 255-269 MSC: Primary 57N20; Secondary 58B05, 54C10. DOI: 10.4064/fm68-3-2022 Published online: 14 June 2022

Abstract

We investigate to what extent the density of $Z_n$-maps in the characterization of $Q$-manifolds and the density of maps $f\in C(\mathbb N\times Q,X)$ having discrete images in the $l_2$-manifolds characterization can be weakened to the density of homological $Z_n$-maps and homological $Z$-maps, respectively. As a result, we obtain homological characterizations of $Q$-manifolds and $l_2$-manifolds.

Authors

  • Alexandre KarassevDepartment of Computer Science and Mathematics
    Nipissing University
    100 College Drive, P.O. Box 5002
    North Bay, ON, P1B 8L7, Canada
    e-mail
  • Vesko ValovDepartment of Computer Science and Mathematics
    Nipissing University
    100 College Drive, P.O. Box 5002
    North Bay, ON, P1B 8L7, Canada
    e-mail

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