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Let G be a semialgebraic group which is not necessarily compact. Let X be a semialgebraically proper G-set such that the orbit space has a semialgebraic structure. In this paper we prove the existence of semialgebraic slices of X. Moreover X can be covered by finitely many semialgebraic G-tubes.
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참고문헌 (17)
참고문헌 신청
J. Bochnak / 1998 / Real Agebraic Geometry / Erg. der Math. und ihrer Grenzg. 36
G. E. Bredon / 1972 / Introduction to Compact Transformation Groups / Pure and Ap-plied Mathematics 46
G. W. Brumfiel / 1987 / Quotient space for semialgebraic equivalence relation / Math. Z 195:69~78
Myung-Jun Choi / 2004 / The existence of semialgebraic slices and its applications / 대한수학회지 41(4):629~646
M.-J. Choi / 2007 / Proof of semialgebraic covering mapping cylinder conjecture with semialgebraic covering homotopy theorem / Top. Appl 154:69~89
G. E. Bredon / 1972 / Introduction to Compact Transformation Groups / Pure and Ap-plied Mathematics 46
G. W. Brumfiel / 1987 / Quotient space for semialgebraic equivalence relation / Math. Z 195:69~78
Myung-Jun Choi / 2004 / The existence of semialgebraic slices and its applications / 대한수학회지 41(4):629~646
M.-J. Choi / 2007 / Proof of semialgebraic covering mapping cylinder conjecture with semialgebraic covering homotopy theorem / Top. Appl 154:69~89
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