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Union theorem for cohomological dimension: a simple counterexample


Author: Jerzy Dydak
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
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Abstract: An elementary counterexample to the Union Theorem for cohomological dimension with coefficients in $ {\mathbf{Z}}/{2^\infty }$ is presented.


References [Enhancements On Off] (What's this?)

  • [DRS] A. Dranishnikov, D. Repovš, and E. Ščepin, On the failure of the Urysohn-Menger sum formula for cohomological dimension, preprint.
  • [DW] J. Dydak and J. J. Walsh, Aspects of cohomological dimension for principal ideal domains (in preparation).
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  • [Ru] L. R. Rubin, Characterizing cohomological dimension: The cohomological dimension of $ A \cup B$, Topology Appl. 40 (1991), 233-263. MR 1124840 (92g:55002)
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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1205489-3
Keywords: Dimension, cohomological dimension, Union Theorem
Article copyright: © Copyright 1994 American Mathematical Society

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