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Title: A universal space for plus-constructions
Authors: Berrick, A.J. 
Casacuberta, C.
Issue Date: May-1999
Citation: Berrick, A.J.,Casacuberta, C. (1999-05). A universal space for plus-constructions. Topology 38 (3) : 467-477. ScholarBank@NUS Repository.
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.
Source Title: Topology
ISSN: 00409383
Appears in Collections:Staff Publications

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