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Sep 4, 2012 at 1:34 history edited Peter May CC BY-SA 3.0
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Sep 4, 2012 at 1:28 vote accept John Klein
Sep 4, 2012 at 1:11 comment added Peter May I just saw the comment about Bredon. He introduced ordinary $\mathbf{Z}$-graded cohomology theories, in 1966 I believe. (I heard him talk about it that year). Most people outside core algebraic topology mean Borel cohomology, not Bredon cohomology, when they say "equivariant cohomology'', and Borel certainly came earlier. Of course, neither considered $RO(G)$-grading.
Sep 4, 2012 at 1:07 history answered Peter May CC BY-SA 3.0