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Applications of Exactness

Chapter
Part of the Universitext book series (UTX)

Abstract

In this chapter we give some diverse applications of the material in Chapter 4. In Definition 2.5.10 we defined the (homotopical) cohomology groups with coefficients as \(H^n (X,G)\, = \,[X,K(G;n)].\,\text{When}\,G\, = \,\mathbb{Z}, \) we refer to these groups as ordinary cohomology groups or integral cohomology groups.

Keywords

Exact Sequence Homotopy Group Moore Space Exact Homotopy Sequence Homotopy Section 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsDartmouth CollegeHanoverUSA

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