English

Absolute extensors in extension theory

Geometric Topology 2007-05-23 v1 General Topology

Abstract

Let L be a countable and locally finite CW complex. Suppose that the class of all metrizable compacta of extension dimension not greater than L contains a universal element which is an absolute extensor in dimension L. Our main result shows that L is quasi-finite.

Keywords

Cite

@article{arxiv.math/0405212,
  title  = {Absolute extensors in extension theory},
  author = {Alex Karasev and Vesko Valov},
  journal= {arXiv preprint arXiv:math/0405212},
  year   = {2007}
}