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Leaf of foliation

Title
Leaf of foliation
Authors
엄고운
Issue Date
2003
Department/Major
대학원 수학과
Keywords
foliationLeafMathematics
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
이 논문에서 foliation의 leaf에 대해 공부한다. General topology와 differential topology의 property를 사용해서 leaf의 위상을 공부하고 그 위상에 따라 leaf를 세 가지 (an imbedded leaf, a locally dense leaf and an exceptional leaf )로 나눈다. 마지막으로는 각각의 경우에 해당하는 low dimensional foliation의 예를 제시한다.;In this thesis, we study leaves of foliations. Using the properties of general topology and differential topology, we study the topology of leaves and classify leaves into the three kinds : an imbedded leaf, a locally dense leaf and an exceptional leaf. We give some examples which are low dimensional foliations in each case.
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일반대학원 > 수학과 > Theses_Master
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