A universal space for plus-constructions

Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/102782

DC Field	Value
dc.title	A universal space for plus-constructions
dc.contributor.author	Berrick, A.J.
dc.contributor.author	Casacuberta, C.
dc.date.accessioned	2014-10-28T02:29:41Z
dc.date.available	2014-10-28T02:29:41Z
dc.date.issued	1999-05
dc.identifier.citation	Berrick, A.J.,Casacuberta, C. (1999-05). A universal space for plus-constructions. Topology 38 (3) : 467-477. ScholarBank@NUS Repository.
dc.identifier.issn	00409383
dc.identifier.uri	http://scholarbank.nus.edu.sg/handle/10635/102782
dc.description.abstract	We exhibit a two-dimensional, acyclic, Eilenberg-Mac Lane space W such that, for every space X, the plus-construction X+ with respect to the largest perfect subgroup of π1(X) coincides, up to homotopy, with the W-nullification of X; that is, the natural map X → X+ is homotopy initial among maps X → Y where the based mapping space map*(W, Y) is weakly contractible. Furthermore, we describe the effect of W -nullification for any acyclic W, and show that some of its properties imply, in their turn, the acyclicity of W. © 1999 Elsevier Science Ltd. All rights reserved.
dc.source	Scopus
dc.type	Article
dc.contributor.department	MATHEMATICS
dc.description.sourcetitle	Topology
dc.description.volume	38
dc.description.issue	3
dc.description.page	467-477
dc.description.coden	TPLGA
dc.identifier.isiut	NOT_IN_WOS
Appears in Collections:	Staff Publications

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