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The index number of an $R$-space: An extension of a result of M.Takeuchi’s

Author: Cristián U. Sánchez
Journal: Proc. Amer. Math. Soc. 125 (1997), 893-900
MSC (1991): Primary 53C30; Secondary 53C35
MathSciNet review: 1343722
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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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Cristián U. Sánchez
Affiliation: Fa. M.A.F., Universidad de Córdoba, Ciudad Universitaria, 5000, Córdoba, Argentina

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
Article copyright: © Copyright 1997 American Mathematical Society