Notes on Serre fibrations
نویسنده
چکیده
Here the solid arrows represent maps that are given, and the problem is to find a map h commuting in the diagram. Usually the map i is an inclusion, and p is some kind of “bundle map” such as a local product. Note the special cases: (i) if i is an inclusion, E = A, and f = 1A, then the extension problem asks whether A is a retract of X; and (ii) if p is surjective, X=B, and g = 1B, the lifting problem asks whether p admits a section. More generally, one can combine the two diagrams into one: A E
منابع مشابه
Category of Noncommutative CW complexes. III
We prove in this paper a noncommutative version of Leray Theorem and then Leray-Serre Spectral Theorem for noncommutative Serre fibrations: for NC Serre fibration there are converging spectral sequences with E terms as Ep,q = HPp(A; HPq(B,A)) =⇒ HPp+q(B) and Ep,q = HPp(A; Kq(B,A)) =⇒ Kp+q(B).
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