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Yang index of the deleted product
Authors:Simeon T. Stefanov
Affiliation:1 Suchodolska Str., B 13 Vh 2 Ap 32, 1373 Sofia, Bulgaria
Abstract:For any $kappage 1$ a $kappa$-dimensional polyhedron $Y_kappa$ is constructed such that the Yang index of its deleted product $Y^*_kappa$ equals $2kappa$. This answers a question of Izydorek and Jaworowski (1995). For any $kappage 1$ a $2kappa$-dimensional closed manifold $M$ with involution is constructed such that $operatorname{index} M=2kappa$, but $M$ can be mapped into a $kappa$-dimensional polyhedron without antipodal coincidence.

Keywords:Yang index   deleted product   antipodal coincidence
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