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Cycles on Nash algebraic models of smooth manifolds

Author(s): Wojciech Kucharz
Journal: Proc. Amer. Math. Soc. 137 (2009), 1899-1906.
MSC (2000): Primary 14P05, 14P25, 57R19
Posted: January 21, 2009
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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$.

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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

DOI: 10.1090/S0002-9939-09-09663-4
PII: S 0002-9939(09)09663-4
Keywords: Real algebraic sets, algebraic homology classes, algebraic models, Nash algebraic models.
Received by editor(s): April 24, 2008,
Received by editor(s) in revised form: June 7, 2008
Posted: January 21, 2009
Communicated by: Paul Goerss
Copyright of article: Copyright 2009, American Mathematical Society

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