Borsuk-Ulam type theorems for manifolds
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- by Oleg R. Musin PDF
- Proc. Amer. Math. Soc. 140 (2012), 2551-2560 Request permission
Abstract:
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.References
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Additional Information
- Oleg R. Musin
- Affiliation: Department of Mathematics, University of Texas at Brownsville, 80 Fort Brown, Brownsville, Texas 78520
- Email: oleg.musin@utb.edu
- Received by editor(s): December 4, 2009
- Received by editor(s) in revised form: May 24, 2010, December 18, 2010, January 13, 2011, January 18, 2011, January 23, 2011, and February 24, 2011
- Published electronically: November 18, 2011
- Additional Notes: This research was supported in part by NSF grant DMS-0807640 and NSA grant MSPF-08G-201.
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 2551-2560
- MSC (2010): Primary 55M35, 55M99, 57R85
- DOI: https://doi.org/10.1090/S0002-9939-2011-11094-3
- MathSciNet review: 2898717