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A Spectral Sequence for Cohomotopy

Published online by Cambridge University Press:  20 November 2018

Benson Samuel Brown
Benson Samuel Brown*
Affiliation:
Sir George Williams University, Montreal, Quebec
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For a prime number p let be the class of finite abelian groups whose orders are prime to p. For a finitely generated abelian group G, let Gp be the sum of the free and p-primary components of G. Our aim in this paper is to prove the following theorem.

Theorem. Suppose that

(i) Hi(X;Z) = 0 for i > k,

(ii) for i > k – d

Then there exists a spectral sequence with

and the differential is given by

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 21 , 1969 , pp. 712 - 729
Copyright
Copyright © Canadian Mathematical Society 1969

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