A continuous localization and completion

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4 Citations (Scopus)

Abstract

The main goal of this paper is to construct a localization and completion of Bousfield-Kan type as a continuous functor for a virtually nilpotent CW-complex. Then the localizationand completion of an An-space is given to be an An-homomorphism between An-spaces. For any general compact Lie group, this gives a continuous equivariant localization and completion for a virtually nilpotent G-CW-complex. More generally, we have a continuous localization with respect to a system of core rings for a virtually nilpotent DCW-complex for a polyhedral categoryD.

Original languageEnglish
Pages (from-to)77-90
Number of pages14
JournalTransactions of the American Mathematical Society
Volume320
Issue number1
DOIs
Publication statusPublished - Jul 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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