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

Sánchez, Cristián

doi:10.1090/S0002-9939-97-03517-X

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

Proc. Amer. Math. Soc. 125 (1997), 893-900

DOI: https://doi.org/10.1090/S0002-9939-97-03517-X

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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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