Finite approximations of $p$-local compact groups

Abstract

We show that the classifying space of a $p$-local compact group is approximated by a telescope of classifying spaces of $p$-local finite groups. This result has numerous implications, like a Stable Elements Theorem for $p$-local compact groups, or the description of the homotopy type of certain mapping spaces.

References in corpus (4)

• The classification of 2-compact groups
• An algebraic model for finite loop spaces
• Unstable Adams operations on p-local compact groups
• A spectral sequence for fusion systems

Cited by in corpus (1)

• Correction to: An algebraic model for finite loop spaces