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

Alexandre Karassev; Vesko Valov

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

Geometric Topology 2020-12-02 v1 General Topology

Authors: Alexandre Karassev , Vesko Valov

Abstract

We investigate to what extend 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.

Keywords

q-manifolds l2-manifolds homological characterization zn-maps density of maps c-spaces

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@article{arxiv.2012.00231,
  title  = {Homological characterizations of $Q$-manifolds and $l_2$-manifolds},
  author = {Alexandre Karassev and Vesko Valov},
  journal= {arXiv preprint arXiv:2012.00231},
  year   = {2020}
}

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15 pages

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

Abstract

Keywords

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