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

Alexandre Karassev; Vesko Valov

doi:10.4064/fm68-3-2022

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Fundamenta Mathematicae / All issues

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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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Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Fundamenta Mathematicae / All issues

Fundamenta Mathematicae

Homological characterizations of Q-manifolds and l_2l_2-manifolds

Volume 259 / 2022

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