Applications of Exactness

Part of the Universitext book series (UTX)


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.


Exact Sequence Homotopy Group Moore Space Exact Homotopy Sequence Homotopy Section 
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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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