Homological characterizations of $Q$-manifolds and $l_2$-manifolds
Volume 259 / 2022
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.
