Author:
Cencelj M.,Dranishnikov A. N.
Abstract
AbstractWe show that every compactum has cohomological dimension 1 with respect to a finitely generated nilpotent group G whenever it has cohomological dimension 1 with respect to the abelianization of G. This is applied to the extension theory to obtain a cohomological dimension theory condition for a finite-dimensional compactum X for extendability of every map from a closed subset of X into a nilpotent CW-complex M with finitely generated homotopy groups over all of X.
Publisher
Canadian Mathematical Society
Cited by
4 articles.
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1. Dimension of maps, universal spaces, and homotopy;Journal of Mathematical Sciences;2008-11-11
2. Topology in North Bay;Open Problems in Topology II;2007
3. Extension of maps into nilpotent spaces III;Topology and its Applications;2005-09
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