DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Suh, Dong-Youp | - |
dc.contributor.advisor | 서동엽 | - |
dc.contributor.author | Choi, Myung-Jun | - |
dc.contributor.author | 최명준 | - |
dc.date.accessioned | 2011-12-14T04:39:41Z | - |
dc.date.available | 2011-12-14T04:39:41Z | - |
dc.date.issued | 2003 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=231029&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/41865 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 수학전공, 2003.8, [ iv, 71 p. ] | - |
dc.description.abstract | Various properties of semialgebraic actions including noncompact case are studied. Let $G$ be a semialgebraic group and $M$ a proper semialgebraic $G$-set. We prove that every point of $M$ has a semialgebraic slice and $M$ can be covered by a finite number of $G$-tubes. Using this, we obtain some pleasant results. We prove that $M$ can be embedded in a $G$-representation space if $G$ is a semialgebraic linear group. Semialgebraic version of the covering homotopy theorem is proved when $G$ is compact. With this, a conjecture introduced by Bredon is completely solved in that semialgebraic category which covers almost all reasonable topological cases. We also show that every proper semialgebraic $G$-set has a semialgebraic $G$-cell decomposition. And finally we introduce the theory of semialgebraic $G$-vector bundles and we show that every semialgebraic $G$-vector bundles over a semialgebraic set is one to one correspondence with topological $G$-vector bundles. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | 준대수적 | - |
dc.subject | 변환군 | - |
dc.subject | noncompact | - |
dc.subject | semialgebraic | - |
dc.subject | transformation | - |
dc.subject | 비컴팩트 | - |
dc.title | Studies on compact and noncompact semialgebraic transformation groups | - |
dc.title.alternative | 컴팩트와 비컴팩트 준대수적 변환군론에 대한 연구 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 231029/325007 | - |
dc.description.department | 한국과학기술원 : 수학전공, | - |
dc.identifier.uid | 000985376 | - |
dc.contributor.localauthor | Suh, Dong-Youp | - |
dc.contributor.localauthor | 서동엽 | - |
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