Geodesic
Classifying spaces for 1–truncated compact Lie groups
Rezk, Charles1
1 Department of Mathematics, University of Illinois, Urbana, IL, United States
Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 525-546

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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,BG H) 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.

DOI : 10.2140/agt.2018.18.525
Classification : 55R91, 55P92, 55R35, 55R37
Keywords: classifying spaces, equivariant

Rezk, Charles 1

1 Department of Mathematics, University of Illinois, Urbana, IL, United States 
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Rezk, Charles. Classifying spaces for 1–truncated compact Lie groups. Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 525-546. doi: 10.2140/agt.2018.18.525

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