Yang index of the deleted product
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- by Simeon T. Stefanov PDF
- Proc. Amer. Math. Soc. 128 (2000), 885-891 Request permission
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 $M$ with involution is constructed such that $\operatorname {index} M=2\kappa$, but $M$ can be mapped into a $\kappa$-dimensional polyhedron without antipodal coincidence.References
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Additional Information
- Simeon T. Stefanov
- Affiliation: 1 Suchodolska Str., B 13 Vh 2 Ap 32, 1373 Sofia, Bulgaria
- Email: s_simeon@hotmail.com
- Received by editor(s): December 18, 1995
- Received by editor(s) in revised form: September 5, 1996
- Published electronically: October 25, 1999
- Communicated by: Thomas Goodwillie
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 885-891
- MSC (2000): Primary 55M20
- DOI: https://doi.org/10.1090/S0002-9939-99-05576-8
- MathSciNet review: 1707531