• 충청수학회지
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• 제36권4호
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• pp.245-253
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• 2023

Let G be a semialgebraic group not necessarily compact. In this paper, we prove that the orbit space of every proper semialgebraic G-set has a semialgebraic structure.

• 호남수학학술지
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• 제41권4호
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• pp.851-861
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• 2019

In this paper we consider proper semialgebraic actions of semialgebraic groups on semialgebraic sets. We prove the equivariant version of the semialgebraic local-triviality of semialgebraic maps.

• 충청수학회지
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• 제35권1호
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• pp.13-23
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• 2022

Let G be a semialgebraic group not necessarily compact. Let M be a proper semialgebraic G-set whose orbit space has a semialgebraic structure. In this paper, we prove the embeddability of M into a G-representation space when G is linear.

• 호남수학학술지
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• 제39권1호
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• pp.101-113
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• 2017

Let G be a semialgebraic group which is not necessarily compact. Let X be a proper semialgebraic G-set whose orbit space has a semialgebraic structure. In this paper we prove that X has a finite open straight G-CW complex structure.