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The link of the germ of a semi-algebraic metric space
Author(s):
Guillaume
Valette
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3083-3090.
MSC (2000):
Primary 14P10, 32B25, 154E40
Posted:
June 20, 2007
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Abstract:
In this paper we investigate the metric properties of semi-algebraic germs. More precisely we introduce a counterpart to the notion of link for semi-algebraic metric spaces, which is often used to study the topology. We prove that it totally determines the metric type of the germ. We give a nice consequence for semi-algebraically bi-Lipschitz homeomorphic semi-algebraic germs.
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Additional Information:
Guillaume
Valette
Affiliation:
Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, 30-059 Kraków, Poland
Email:
Guillaume.Valette@im.uj.edu.pl
DOI:
10.1090/S0002-9939-07-08878-8
PII:
S 0002-9939(07)08878-8
Received by editor(s):
September 23, 2005
Received by editor(s) in revised form:
July 14, 2006
Posted:
June 20, 2007
Additional Notes:
This paper was partially supported by the RAAG Network
Communicated by:
David Preiss
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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