Aspects of the Borsuk-Ulam theorem

作者：Crabb M C^*; Jaworowski J

来源：Journal of Fixed Point Theory and Applications, 2013, 13(2): 459-488.

DOI：10.1007/s11784-013-0130-7

• Borsuk-Ulam theorem
• Euler class with compact supports
• fibrewise map
• multivalued map
• Steenrod power

This is a largely expository account of various aspects of the Borsuk-Ulam theorem, including extensions of the classical theorem to families of maps parametrized by a base space and to multivalued maps. The main technical tool is the Euler class with compact supports.

• 出版日期2013-6