Topological Entropy of Maps on Infra-nilmanifolds
- 발행기관 서강대학교 일반대학원
- 지도교수 이종범
- 발행년도 2014
- 학위수여년월 2014. 2
- 학위명 석사
- 학과 및 전공 도움말 일반대학원 수학과
- 실제URI http://www.dcollection.net/handler/sogang/000000053299
- 본문언어 영어
- 저작권 서강대학교 논문은 저작권 보호를 받습니다.
초록/요약 도움말
Relying on entropy conjecture on nilmanifolds, proved by Marzantowicz and Przytycki in [5], we show that entropy conjecture is true for all continuous maps on infra-nilmanifolds. In Section 1, we explain the notions which are necessary to understand entropy conjecture. In Section 2, in order to discuss entropy conjecture on infra-nimmanifolds, we study nilmanifolds and infra- nilmanifolds with theirs examples. In Section 3, we observe several facts about spectral radii and entropies under a regular covering projection. Finally, in Section 4, we prove that entropy conjecture holds for all continuous maps on infra-nilmanifolds.
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