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|Title:||A universal space for plus-constructions||Authors:||Berrick, A.J.
|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||URI:||http://scholarbank.nus.edu.sg/handle/10635/102782||ISSN:||00409383|
|Appears in Collections:||Staff Publications|
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