Chapter 2: Homology

  • Anatoly Fomenko
  • Dmitry Fuchs
Part of the Graduate Texts in Mathematics book series (GTM, volume 273)


Lecture 12 Main Definitions and Constructions Besides the homotopy groups πn(X), there are other series of groups coresponding in a homotopy invariant way to a topological space X; the most notable are homology and cohomology groups, H n (X) and Hn (X).


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© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Anatoly Fomenko
    • 1
  • Dmitry Fuchs
    • 2
  1. 1.Department of Mathematics and MechanicsMoscow State UniversityMoscowRussia
  2. 2.Department of MathematicsUniversity of CaliforniaDavisUSA

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