Finite approximations of p–local compact groups

Gonzalez, Alex¹

¹ Department of Mathematics, Kansas State University, 138 Cardwell Hall, Manhattan, KS 66506, United States

Geometry & topology, Tome 20 (2016) no. 5, pp. 2923-2995.

Résumé

We show how every $p$–local compact group can be described as a telescope of $p$–local finite groups. As a consequence, we deduce several corollaries, such as a stable elements theorem for the mod $p$ cohomology of their classifying spaces, and a generalized Dwyer–Zabrodsky description of certain related mapping spaces.

Détail

DOI : 10.2140/gt.2016.20.2923

Classification : 20D20, 55R35, 55R40
Keywords: p-local compact group, p-local finite group, colimit, stable elements, mapping space, classifying space, compact Lie groups

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