๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Topology of Lie groups, I and II

โœ Scribed by Mamoru Mimura, Hirosi Toda

Book ID
127418959
Publisher
American Mathematical Society
Year
1991
Tongue
English
Weight
4 MB
Series
Translations of mathematical monographs 91
Category
Library
City
Providence, R.I
ISBN-13
9780821845417
ISSN
0065-9282

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โœฆ Synopsis

Two treatments of the topology of Lie groups for senior students of mathematics, as a supplemental bridge between linear algebra and the more specialized disciplines that use it. The first book progresses from linear algebra to the periodicity of KO-groups; the second continues from the theory of compact Lie groups to exceptional groups. No bibliography.

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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(ยข~,) <\_ h(ยข)+h(~) for affine maps on Lie groups. Moreover, ยข and V do not h