Projective Spaces

  • Jean-Claude HausmannEmail author
Part of the Universitext book series (UTX)


Coming from algebraic geometry, projective spaces and their Hopf bundles play an important role in homotopy theory, as already seen in Sects.  3.8 and  4.3. The precise knowledge of their cohomology algebra has interesting applications, like the Borsuk-Ulam theorem, continuous multiplications in \({\mathbb R}^m\) and the Hopf invariant, which are presented in Sect. 6.2.


Projective Space Continuous Multiplication Cohomology Ring Topological Complexity Cohomology Algebra 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.University of GenevaGenevaSwitzerland

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