Extension of Maps to Nilpotent Spaces

  title={Extension of Maps to Nilpotent Spaces},
  author={Alexander N. Dranishnikov},
We show that every compactum has cohomological dimension with respect to a nitely generated nilpotent group G whenever it has cohomological dimension with respect to the abelianization of G This is applied to the extension theory to obtain a cohomological dimension theory condition for a nite dimensional compactum X for extendability of every map from a closed subset of X into a nilpotent CW complex M with nitely generated homotopy groups over all of X AMS MOS Subj Class Revision Primary M S… CONTINUE READING

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Extension of mappings into CWcomplexes , Matem

  • A. N. Dranishnikov
  • 1991

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