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The index number of an -space: An extension of a result of M.Takeuchi's
Authors:Cristiá  n U. Sá  nchez
Affiliation:Fa. M.A.F., Universidad de Córdoba, Ciudad Universitaria, 5000, Córdoba, Argentina
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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