On two problems in extension theory
Geometric Topology
2007-05-23 v1
Abstract
In this note we introduce the concept of a quasi-finite complex. Next, we show that for a given countable and locally finite CW complex L the following conditions are equivalent: (i) L is quasi-finite. (ii) There exists a [L]-invertible mapping of a metrizable compactum X with e-dim X = [L] onto the Hilbert cube. Finally, we construct an example of a quasi-finite complex L such that its extension type [L] does not contain a finitely dominated complex.
Cite
@article{arxiv.math/0312269,
title = {On two problems in extension theory},
author = {A. V. Karasev},
journal= {arXiv preprint arXiv:math/0312269},
year = {2007}
}