in this chapter we continue the study of homology and cohomology functors, with particular emphasis on the homological properties of topological manifolds. For this important class of spaces we shall establish the duality theorem equating the cohomology of a compact pair in an orientable manifold with the homology, in complementary dimensions, of the complementary pair.
KeywordsOpen Covering Short Exact Sequence Hausdorff Space Compact Hausdorff Space Cohomology Theory
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