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Nov 22, 2014 at 22:44 history edited Vidit Nanda CC BY-SA 3.0
justin, not michael
Nov 22, 2014 at 15:00 comment added Lennart Meier @PiyushGrover I've now checked the article by Curry above and also math.upenn.edu/~ghrist/preprints/eulertome.pdf They seem indeed not only to use Cech cohomology, but e.g. higher direct images (and maybe even derived categories in Verdier duality). Furthermore, ideas on Grothendieck topologies and tame topology seem at least to have been an inspiration.
Nov 22, 2014 at 12:47 history edited john mangual CC BY-SA 3.0
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Nov 20, 2014 at 4:53 history edited john mangual CC BY-SA 3.0
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Nov 19, 2014 at 18:34 comment added Piyush Grover @Lennart, some of recent work by Ghrist involves sheaf cohomology. Maybe thats the connection to Grothendieck ?
Nov 19, 2014 at 17:37 comment added Lennart Meier Although this is quite interesting: Where is the influence of Grothendieck here? Grothendieck certainly had important influence on algebraic topology, but not on this kind of algebraic topology. Simplicial complexes, (Cech) (co)homology etc. all existed before Grothendieck became active.
Nov 19, 2014 at 17:20 history answered john mangual CC BY-SA 3.0