2-Maps and Nonembeddability

Part of the Universitext book series (UTX)

If we want to apply the Borsuk-Ulam theorem to some problem, we need to exhibit a continuous map of a sphere that somehow reflects the problem’s structure. In earlier applications, such as shown in Chapter 3, this was usually done by clever ad hoc constructions. Here we are going to explain a somewhat more systematic approach.


Simplicial Complex Chromatic Number Graph Homomorphism Maximal Simplex Ulam Theorem 
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© Springer-Verlag Berlin Heidelberg 2008

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