Classifying spaces for 1-truncated compact lie groups

Research output: Contribution to journalArticle

Abstract

A 1-truncated compact Lie group is any extension of a finite group by a torus. In this note we compute the homotopy types of Map * (BG,BH), Map(BG,BH), and Map(EG,BGH) for compact Lie groups G and H with H 1-truncated, showing that they are computed entirely in terms of spaces of homomorphisms from G to H. These results generalize the well-known case when H is finite, and the case when H is compact abelian due to Lashof, May, and Segal.

Original languageEnglish (US)
Pages (from-to)525-546
Number of pages22
JournalAlgebraic and Geometric Topology
Volume18
Issue number1
DOIs
StatePublished - Jan 10 2018

Keywords

  • Classifying spaces
  • Equivariant

ASJC Scopus subject areas

  • Geometry and Topology

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