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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Central extensions and generalized plus-constructions


Authors: G. Mislin and G. Peschke
Journal: Trans. Amer. Math. Soc. 353 (2001), 585-608
MSC (1991): Primary 19D06, 55P60, 55Q15
Published electronically: October 23, 2000
MathSciNet review: 1804509
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Abstract:

We describe the effect of homological plus-constructions on the homotopy groups of Eilenberg-MacLane spaces in terms of universal central extensions.


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Additional Information

G. Mislin
Affiliation: Departement Mathematik, ETH, 8092 Zürich, Switzerland
Email: mislin@math.ethz.ch

G. Peschke
Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Canada T6G 2G1
Email: George.Peschke@UAlberta.Ca

DOI: http://dx.doi.org/10.1090/S0002-9947-00-02727-6
PII: S 0002-9947(00)02727-6
Keywords: Plus-constructions, localization, colocalization, central extension
Received by editor(s): April 14, 1998
Published electronically: October 23, 2000
Additional Notes: Research partially supported by NSERC of Canada
Article copyright: © Copyright 2000 American Mathematical Society