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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Union theorem for cohomological dimension: a simple counterexample
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by Jerzy Dydak PDF
Proc. Amer. Math. Soc. 121 (1994), 295-297 Request permission

Abstract:

An elementary counterexample to the Union Theorem for cohomological dimension with coefficients in ${\mathbf {Z}}/{2^\infty }$ is presented.
References
    A. Dranishnikov, D. Repovš, and E. Ščepin, On the failure of the Urysohn-Menger sum formula for cohomological dimension, preprint. J. Dydak and J. J. Walsh, Aspects of cohomological dimension for principal ideal domains (in preparation).
  • V. I. Kuz′minov, Homological dimension theory, Uspehi Mat. Nauk 23 (1968), no. 5 (143), 3–49 (Russian). MR 0240813
  • Leonard R. Rubin, Characterizing cohomological dimension: the cohomological dimension of $A\cup B$, Topology Appl. 40 (1991), no. 3, 233–263. MR 1124840, DOI 10.1016/0166-8641(91)90108-X
  • Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 121 (1994), 295-297
  • MSC: Primary 55M10; Secondary 54F45, 54G20
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1205489-3
  • MathSciNet review: 1205489