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http://dx.doi.org/10.4134/JKMS.2004.41.4.629

THE EXISTENCE OF SEMIALGEBRAIC SLICES AND ITS APPLICATIONS  

Choi, Myung-Jun (Department of Mathematics Korea Advanced Institute of Science and Technology)
Park, Dae-Heui (Department of Mathematics College of Natural Sciences Chonnam National University)
Suh, Dong-Youp (Department of Mathematics Korea Advanced Institute of Science and Technology)
Publication Information
Journal of the Korean Mathematical Society / v.41, no.4, 2004 , pp. 629-646 More about this Journal
Abstract
Let G be a compact semialgebraic group and M a semi-algebraic G-set. We prove that there exists a semialgebraic slice at every point of M. Moreover M can be covered by finitely many semialgebraic G-tubes. As an application we give a different proof that every semialgebraic G-set admits a semi algebraic G-embedding into some semialgebraic orthogonal representation space of G, which has been proved in [15].
Keywords
transformation groups; semialgebraic; slice; embedding;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
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