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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Yang index of the deleted product


Author: Simeon T. Stefanov
Journal: Proc. Amer. Math. Soc. 128 (2000), 885-891
MSC (2000): Primary 55M20
DOI: https://doi.org/10.1090/S0002-9939-99-05576-8
Published electronically: October 25, 1999
MathSciNet review: 1707531
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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.


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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

DOI: https://doi.org/10.1090/S0002-9939-99-05576-8
Keywords: Yang index, deleted product, antipodal coincidence
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
Article copyright: © Copyright 1999 American Mathematical Society