Abstract:This paper generalizes the concept of index and co-index and some related results for free actions of G = S 0 on a paracompact Hausdorff space which were introduced by Conner and Floyd[1]. We define the index and co-index of a finitistic free G-space X, where G = S d , d = 1 or 3 and prove that the index of X is not more than the mod 2 cohomology index of X. We observe that the index and co-index of a (2n + 1)sphere S 2n+1 (resp. (4n+3)-sphere S 4n+3 ) for the action of componentwise multiplication of G = S 1 … Show more
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