Hatcher-Algebraic-Topology · Problem 2B.2

Cohomology

Mathematics — Graph Theory · homology-sphere-complement-graph

Problem

Show that H~i(Sn−X)≈H~n−i−1(X)\tilde{H}_i(S^n - X) \approx \tilde{H}_{n-i-1}(X) when XX is homeomorphic to a finite connected graph. [First do the case that the graph is a tree.]

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