English

Compactifications and universal spaces in extension theory

General Topology 2007-05-23 v1

Abstract

We show that for each countable simplicial complex P the following conditions are equivalent: (1) PAE(X)P \in AE(X) iff PAE(βX)P \in AE(\beta X) for any space X; (2) There exists a P-invertible map of a metrizable compactum X with PAE(X)P \in AE(X) onto the Hilbert cube.

Keywords

Cite

@article{arxiv.math/9908073,
  title  = {Compactifications and universal spaces in extension theory},
  author = {Alex Chigogidze},
  journal= {arXiv preprint arXiv:math/9908073},
  year   = {2007}
}