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Timeline for Equivariant singular cohomology

Current License: CC BY-SA 2.5

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Feb 8, 2010 at 12:01 vote accept Kevin H. Lin
Dec 23, 2009 at 3:23 comment added Kevin H. Lin Oops, yes, I meant the chain. Ok, I'll try to take a peek at the paper.
Dec 23, 2009 at 3:17 comment added Kevin McGerty An abstract chain just has to have a $G$ action, not the ambient space. The idea I guess is that a chain in the Borel construction can be pulled back to $X\times EG$ and then I can approximate $EG$ by a smooth finite-dimensional manifold $E$ containing the pulled-back chain. Embed $X\times E$ in $\mathbb R^\infty$ and you have geometric chain (or rather its graph). Anyway the paper is nicely written if I remember, so probably it's better to read what they said!
Dec 23, 2009 at 3:09 comment added Kevin H. Lin Yeah, I was guessing that it might be something along those lines. But then how do you put a free action of $G$ on $\mathbb{R}^n$? And then you still have to show that the result is independent of this choice?
Dec 23, 2009 at 3:02 history answered Kevin McGerty CC BY-SA 2.5