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Yang index of the deleted product

Authors:	Simeon T Stefanov

Institution:	1 Suchodolska Str., B 13 Vh 2 Ap 32, 1373 Sofia, Bulgaria

Abstract:	For any $\kappa\ge 1$ a $\kappa$ -dimensional polyhedron $Y_\kappa$ is constructed such that the Yang index of its deleted product $Y^*_\kappa$ equals $2\kappa$ . This answers a question of Izydorek and Jaworowski (1995). For any $\kappa\ge 1$ a $2\kappa$ -dimensional closed manifold with involution is constructed such that $\operatorname{index} M=2\kappa$ , but can be mapped into a $\kappa$ -dimensional polyhedron without antipodal coincidence.

Keywords:	Yang index deleted product antipodal coincidence

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