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Feb 26, 2013 at 8:25 comment added Mikhail Bondarko Cech cohomology yields a 'nice' cohomology theory if all the (multiple) intersections of the components of your covering have trivial cohomology (this is also true if you consider a limit of coverings). If you have a weird topological space, then you cannot achieve this condition; then you need hypercoverings.
Feb 26, 2013 at 8:17 vote accept HeWhoHungers
Feb 26, 2013 at 4:15 comment added Włodzimierz Holsztyński "Čehov cohomology" sounded interesting too.
Feb 25, 2013 at 20:59 answer added Donu Arapura timeline score: 7
Feb 25, 2013 at 20:32 comment added HeWhoHungers Thank you both for your hasty corrections - indeed it was Čech cohomology that I had in mind and it was little but stupidity that led me to write otherwise.
Feb 25, 2013 at 20:24 comment added Andrej Bauer He means Čech cohomology, I am quite sure as this is a student who was in my office today. I suggested he asks here. I edited the question to fix the terminology.
Feb 25, 2013 at 20:23 history edited Andrej Bauer CC BY-SA 3.0
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Feb 25, 2013 at 20:11 comment added user9072 Searching for "Čehov cohomology" turns up this question and nothing else. This is not my field so it is hard to judge but perhaps some clarification what this is could be appropriate. (Or do you mean "Čech cohomology"?)
Feb 25, 2013 at 19:47 history asked HeWhoHungers CC BY-SA 3.0