General Cohomology Theory and Duality

  • Edwin H. Spanier


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.


Open Covering Short Exact Sequence Hausdorff Space Compact Hausdorff Space Cohomology Theory 


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Copyright information

© Springer-Verlag New York, Inc. 1966

Authors and Affiliations

  • Edwin H. Spanier
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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