Theorem of Borsuk and Topological Transversality

  • Andrzej Granas
  • James Dugundji
Part of the Springer Monographs in Mathematics book series (SMM)


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.


Convex Space Normed Linear Space Linear Topological Space Nonempty Compact Convex Subset Compact Field 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Andrzej Granas
    • 1
    • 2
  • James Dugundji
  1. 1.Département de Mathématiques et StatistiqueUniversité de MontréalMontréalCanada
  2. 2.Department of Mathematics and Computer ScienceUniversity of Warmia and MazuryOlsztynPoland

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