Mapping spaces of compact lie groups and p-adic completion

David Blanc; Dietrich Notbohm

doi:10.1090/S0002-9939-1993-1112487-6

Mapping spaces of compact lie groups and p-adic completion

David Blanc, Dietrich Notbohm

Research output: Contribution to journal › Article › peer-review

Abstract

If BG, BH are the classifying spaces of compact Lie groups, with H connected, then the mapping space functor map(BG, -) commutes with p-completion on BH: i.e., for each f: BG → BH the component (map(BG, BH)_f) is p-complete, and is homotopy equivalent to map(BG, BH).

Original language	English
Pages (from-to)	251-258
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	117
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1993-1112487-6
State	Published - Jan 1993
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1993-1112487-6

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title = "Mapping spaces of compact lie groups and p-adic completion",

abstract = "If BG, BH are the classifying spaces of compact Lie groups, with H connected, then the mapping space functor map(BG, -) commutes with p-completion on BH: i.e., for each f: BG → BH the component (map(BG, BH)f) is p-complete, and is homotopy equivalent to map(BG, BH).",

author = "David Blanc and Dietrich Notbohm",

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AB - If BG, BH are the classifying spaces of compact Lie groups, with H connected, then the mapping space functor map(BG, -) commutes with p-completion on BH: i.e., for each f: BG → BH the component (map(BG, BH)f) is p-complete, and is homotopy equivalent to map(BG, BH).

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Mapping spaces of compact lie groups and p-adic completion

Abstract

ASJC Scopus subject areas

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