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Theorem of Borsuk and Topological Transversality

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Fixed Point Theory

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

In this chapter we provide an easily accessible and unified account of some of the most fundamental results in fixed point theory. Among them, the antipodal theorem of Borsuk and the theorem on topological transversality occupy the central position; all the other results in this chapter are their consequences. The chapter ends with diverse applications to various fields.

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© 2003 Springer Science+Business Media New York

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Granas, A., Dugundji, J. (2003). Theorem of Borsuk and Topological Transversality. In: Fixed Point Theory. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21593-8_3

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  • DOI: https://doi.org/10.1007/978-0-387-21593-8_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-1805-5

  • Online ISBN: 978-0-387-21593-8

  • eBook Packages: Springer Book Archive

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