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ArticleOriginal scientific text

Title

On the homotopy category of Moore spaces and the cohomology of the category of abelian groups

Authors 1, 2

Affiliations

  1. Max-Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, D-53225 Bonn, Germany
  2. Département de Mathématiques, Université de Valenciennes, B.P. 311, 59304 Valenciennes, France

Abstract

The homotopy category of Moore spaces in degree 2 represents a nontrivial cohomology class in the cohomology of the category of abelian groups. We describe various properties of this class. We use James-Hopf invariants to obtain explicitly the image category under the functor chain complex of the loop space.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm150/fm15037.pdf

Fundamenta Mathematicae
1996/150/3
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Pages:
265-289
Main language of publication
English
Received
1995-09-11
Accepted
1996-01-29
Published
1996
Exact and natural sciences