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Algebraically determined topologies on permutation groups

✍ Scribed by Taras Banakh; Igor Guran; Igor Protasov


Book ID
113933965
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
221 KB
Volume
159
Category
Article
ISSN
0166-8641

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Algebraic and topological entropy on lie
✍ Chuang Peng πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 497 KB

This paper starts with some examples and quick results on the topological entropy of continuous functions. It discusses the topological entropy on Lie groups and proves their shift properties. It proves Fried's conjecture h(Β’~,) <\_ h(Β’)+h(~) for affine maps on Lie groups. Moreover, Β’ and V do not h