Cycles on Nash algebraic models of smooth manifolds
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Abstract:
A Nash algebraic model of a compact smooth manifold $M$ is a pair $(X,X_0)$ where $X$ is a nonsingular real algebraic set and $X_0$ is the union of some connected components of $X$ such that $X_0$ is diffeomorphic to $M$. We study the homology classes on $X_0$ represented by algebraic subsets of $X$ contained in $X_0$ for various Nash algebraic models $(X,X_0)$ of $M$.References
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Additional Information
- Wojciech Kucharz
- Affiliation: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
- Email: kucharz@math.unm.edu
- Received by editor(s): April 24, 2008
- Received by editor(s) in revised form: June 7, 2008
- Published electronically: January 21, 2009
- Communicated by: Paul Goerss
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 1899-1906
- MSC (2000): Primary 14P05, 14P25, 57R19
- DOI: https://doi.org/10.1090/S0002-9939-09-09663-4
- MathSciNet review: 2480269