Operations in Segal's cohomology
Published online by Cambridge University Press: 24 October 2008
Extract
Let A = {Aq}q≥0 be an anti-commutative graded ring with 1. Let X be a space and let G(X; A) be the group of multiplicative units of the ring Πi≥0Hi(X; Ai) of the form l + x1 + x2 +…, where xi∊ Hi (X; Ai), In [6] Segal showed that there is a connective cohomology theory G*(X; A), with G0(X;A) = G(X; A). This was improved by Steiner, who in [7] showed that A→G*(X; A) is a functor from anticommutative graded algebras to cohomology theories.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 3 , May 1984 , pp. 437 - 441
- Copyright
- Copyright © Cambridge Philosophical Society 1984
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