Timeline for Is the cohomology of a topological operad a cooperad?
Current License: CC BY-SA 2.5
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| Feb 24, 2010 at 6:38 | comment | added | Tilman | It's the topology of a pro-finite dimensional vector space. You have to take field coefficients. Let's assume we work in the category of CW-complexes. Every CW-complex X is the directed colimit of its finite subcomplexes, and this gives an inverse system after applying cohomology. The limit of this system is the cohomology of X. (There are no phantom maps.) | |
| Feb 23, 2010 at 14:57 | comment | added | skupers | Do you a reference this way of considering cohomology groups as topological vector spaces? What is the natural topology on them? Is it the weak-* topology with respect to the homology-cohomology pairing? | |
| Feb 23, 2010 at 7:09 | history | answered | Tilman | CC BY-SA 2.5 |