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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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The index number of an $R$-space: An extension of a result of M.Takeuchi’s
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by Cristián U. Sánchez PDF
Proc. Amer. Math. Soc. 125 (1997), 893-900 Request permission

Abstract:

M. Takeuchi proved the following nice result: The “two-number” of a symmetric $R$-space is equal to the sum of the Betti numbers of the space with coefficients in $Z_2$. In the present paper an extension of this result is given for general $R$-spaces.
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Additional Information
  • Cristián U. Sánchez
  • Affiliation: Fa. M.A.F., Universidad de Córdoba, Ciudad Universitaria, 5000, Córdoba, Argentina
  • Email: csanchez@mate.uncor.edu
  • Received by editor(s): August 5, 1994
  • Received by editor(s) in revised form: June 12, 1995
  • Additional Notes: The author’s research was partially supported by CONICET and CONICOR, Argentina
  • Communicated by: Roe W. Goodman
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 893-900
  • MSC (1991): Primary 53C30; Secondary 53C35
  • DOI: https://doi.org/10.1090/S0002-9939-97-03517-X
  • MathSciNet review: 1343722