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.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). ℤ2-Maps and Nonembeddability. In: Using the Borsuk–Ulam Theorem. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76649-0_5
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DOI: https://doi.org/10.1007/978-3-540-76649-0_5
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