The realizability of local loop spaces as manifolds
type: Item
instance of: scholarly article
title: The realizability of local loop spaces as manifolds
zbMATH Open document ID: 1110.55005
author: Tilman Bauer
author: Erik K. Pedersen
published in: \(K\)-Theory
publication date: 2007-02-13T00:00:00Z
review text: The main results of this paper are: Let \(P\) be a collection of primes and \(X\) a \(P\)-local \(\mathbb Z_{(P)}\)-finite loop space. Then \(X\) is homotopy equivalent to the \(P\)-localization of a compact, smooth, parallelizable manifold and an analogous result holds in the \(P\)-complete case (under a more technical hypothesis). A consequence is that every \(p\)-compact group is the \(p\)-completion of a compact, smooth, and parallelizable manifold.
Mathematics Subject Classification ID: 55P35
Mathematics Subject Classification ID: 55P15
Mathematics Subject Classification ID: 57R67
zbMATH DE Number: 5125380
zbMATH Keywords: local loop space
zbMATH Keywords: surgery
zbMATH Keywords: manifold
MaRDI profile type: Publication
full work available at URL: s10977-006-0019-y
OpenAlex ID: W2035456491
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DOI: 10.1007/S10977-006-0019-Y
description: scientific article; zbMATH DE number 5125380