Journal of the Korean Mathematical Society (대한수학회지)
- Volume 35 Issue 2
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- Pages.371-386
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- 1998
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
SEMIALGEBRAIC G CW COMPLEX STRUCTURE OF SEMIALGEBRAIC G SPACES
- Park, Dae-Heui (Department of Mathematics Korea Advanced Institute of Science and Technology) ;
- Suh, Dong-Youp (Department of Mathematics Korea Advanced Institute of Science and Technology)
- Published : 1998.05.01
Abstract
Let G be a compact Lie group and M a semialgebraic G space in some orthogonal representation space of G. We prove that if G is finite then M has an equivariant semialgebraic triangulation. Moreover this triangulation is unique. When G is not finite we show that M has a semialgebraic G CW complex structure, and this structure is unique. As a consequence compact semialgebraic G space has an equivariant simple homotopy type.