arXiv:math/0405212 Abstract

arXiv:math/0405212 [math.GT]Abstract References Reviews Resources

Absolute extensors in extension theory

Published 2004-05-12Version 1

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.

Categories: math.GT, math.GN

Keywords: absolute extensor, extension theory, locally finite cw complex, extension dimension, universal element

Related articles: Most relevant | Search more

arXiv:math/0312269 [math.GT] (Published 2003-12-12)

On two problems in extension theory

A. V. Karasev

arXiv:1703.04339 [math.GT] (Published 2017-03-13)

Simplicial inverse sequences in extension theory

Leonard R. Rubin, Vera Tonić

arXiv:math/0410370 [math.GT] (Published 2004-10-16, updated 2005-12-11)

Extensions of maps to the projective plane

Jerzy Dydak, Michael Levin