Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Submanifolds of real algebraic varieties

Author: W. Kucharz
Journal: Proc. Amer. Math. Soc. 136 (2008), 55-60
MSC (2000): Primary 14P05, 14C25
Published electronically: September 25, 2007
MathSciNet review: 2350388
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: By the Nash-Tognoli theorem, each compact smooth manifold $ M$ is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of $ M$. We construct algebraic models $ X$ of $ M$ with controlled behavior of the group of cohomology classes represented by algebraic subsets of $ X$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 14P05, 14C25

Retrieve articles in all journals with MSC (2000): 14P05, 14C25

Additional Information

W. Kucharz
Affiliation: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131-1141

PII: S 0002-9939(07)08944-7
Received by editor(s): September 10, 2005
Received by editor(s) in revised form: September 28, 2006
Published electronically: September 25, 2007
Communicated by: Paul Goerss
Article copyright: © Copyright 2007 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia