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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Hopfian and co-Hopfian $G$-CW-complexes
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by Goutam Mukherjee
Proc. Amer. Math. Soc. 125 (1997), 1229-1236
DOI: https://doi.org/10.1090/S0002-9939-97-03778-7

Abstract:

We determine conditions for a $G$-CW-complex to be a Hopfian or a co-Hopfian object in the $G$-homotopy category of $G$-path-connected $G$-CW-complexes with base points.
References
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Bibliographic Information
  • Goutam Mukherjee
  • Affiliation: School of Mathematics, SPIC Science Foundation, 92, G. N. Chetty Road, Madras-17, India
  • Address at time of publication: Stat-Math Unit, Indian Statistical Institute, 203, B.T. Road, Calcutta-35, India
  • Email: goutam@ssf.ernet.in, goutam@isical.ernet.in
  • Received by editor(s): August 21, 1995
  • Communicated by: Thomas Goodwillie
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1229-1236
  • MSC (1991): Primary 55N25, 55P10
  • DOI: https://doi.org/10.1090/S0002-9939-97-03778-7
  • MathSciNet review: 1372041