학술저널
TOPOLOGICAL CLASSIFICATION OF !-LIMIT SETS OF HOLOMORPHIC FLOWS ON C1
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 1
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2009.0373 - 80 (8 pages)
- 0
This paper aims to study local and global structure of holomorphic °ows on C1. At a singular point of a holomorphic °ow, we locally sector the °ow into parabolic or elliptic types. By the local structure of holomorphic °ows, we classify all the possible types of topologies of !-limit sets.
1. Introduction
2. Preliminaries
3. Local structure of holomorphic °ows and the proof of Theorem 1.1
4. Proof of Theorem 1.2
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