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Submanifolds of real algebraic varieties
Author(s):
W.
Kucharz
Journal:
Proc. Amer. Math. Soc.
136
(2008),
55-60.
MSC (2000):
Primary 14P05, 14C25
Posted:
September 25, 2007
MathSciNet review:
2350388
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Abstract:
By the Nash-Tognoli theorem, each compact smooth manifold  is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of  . We construct algebraic models  of  with controlled behavior of the group of cohomology classes represented by algebraic subsets of  .
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Additional Information:
W.
Kucharz
Affiliation:
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131-1141
Email:
kucharz@math.unm.edu
DOI:
10.1090/S0002-9939-07-08944-7
PII:
S 0002-9939(07)08944-7
Received by editor(s):
September 10, 2005
Received by editor(s) in revised form:
September 28, 2006
Posted:
September 25, 2007
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2007,
American Mathematical Society
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