BORSUK-ULAM TYPE THEOREMS FOR MANIFOLDS

作者：Musin Oleg R^*

来源：Proceedings of the American Mathematical Society, 2012, 140(7): 2551-2560.

• Borsuk-Ulam theorem
• group action
• equivariant cobordism

This paper establishes a Borsuk-Ulam type theorem for PL-manifolds with a finite group action, depending on the free equivariant cobordism class of a manifold. In particular, necessary and sufficient conditions are considered for a manifold with a free involution to be of Borsuk-Ulam type.

• 出版日期2012-7