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Entropy bounds and second cohomology
Journal of Fixed Point Theory and Applications ( IF 1.8 ) Pub Date : 2009 , DOI: 10.1007/s11784-009-0120-y David Fried
Journal of Fixed Point Theory and Applications ( IF 1.8 ) Pub Date : 2009 , DOI: 10.1007/s11784-009-0120-y David Fried
When X is a finite complex and \(\pi_{1}X\) acts on \({\mathbb{R}}^2\) by translations we give criteria involving H2X for an equivariant map \(F : \tilde{X} \rightarrow {\mathbb{R}}^2\) to be onto. Following work of Manning and Shub, this leads to entropy bounds related to Shub’s entropy conjecture.
中文翻译:
熵界与第二同调
当X是有限复数并且\(\ pi_ {1} X \ )通过平移作用于\({\ mathbb {R}} ^ 2 \)时,我们为等变映射\(F:\给出涉及H 2 X的准则波浪号{X} \ rightarrow {\ mathbb {R}} ^ 2 \)。在Manning和Shub的工作之后,这导致了与Shub的熵猜想有关的熵界。
更新日期:2020-09-22
中文翻译:
熵界与第二同调
当X是有限复数并且\(\ pi_ {1} X \ )通过平移作用于\({\ mathbb {R}} ^ 2 \)时,我们为等变映射\(F:\给出涉及H 2 X的准则波浪号{X} \ rightarrow {\ mathbb {R}} ^ 2 \)。在Manning和Shub的工作之后,这导致了与Shub的熵猜想有关的熵界。