Timeline for Is there a good definition of (topological) K-Theory over arbitrary spaces?
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| Aug 30, 2011 at 14:33 | comment | added | old account | ad 1. oh nice, included in there is a characterization of the "bundle part" of K(BG). ad 2. but would you really define the n-th singular cohomology as homotopy classes of maps from the geometric realization of the singular complex of Z to an appropriate EilenbergMaclane space? ad 3. if again i'm not mistaken, maps to BG correspond exactly to numerable G principle bundles even for non cw-complexes, which means even if i included this (which one certainly must to get homotopy invariance of pullbacks) the definition wouldn't "work" for non CW-complexes since K-Theory uses CW-substitutes | |
| Aug 29, 2011 at 15:12 | history | answered | Neil Strickland | CC BY-SA 3.0 |