Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

TOPOLOGICAL CLASSIFICATION OF ω-LIMIT SETS OF HOLOMORPHIC FLOWS ON ℂ1

  • Choy, Jaeyoo (Department of Mathematics, Kyungpook National University) ;
  • Chu, Hahng-Yun (School of Mathematics, Korea Institute for Advanced Study)
  • Received : 2009.01.08
  • Accepted : 2009.02.17
  • Published : 2009.03.31
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Abstract

This paper aims to study local and global structure of holomorphic flows on $\mathbb{C}^1$. At a singular point of a holomorphic flow, we locally sector the flow into parabolic or elliptic types. By the local structure of holomorphic flows, we classify all the possible types of topologies of $\omega$-limit sets.

Keywords

Acknowledgement

Supported by : Kyungpook National University

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