arXiv Open Access 2017

Fixed points in compactifications and combinatorial counterparts

Lionel Nguyen Van Thé

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Abstrak

The Kechris-Pestov-Todorcevic correspondence connects extreme amenability of non-Archimedean Polish groups with Ramsey properties of classes of finite structures. The purpose of the present paper is to recast it as one of the instances of a more general construction, allowing to show that Ramsey-type statements actually appear as natural combinatorial expressions of the existence of fixed points in certain compactifications of groups, and that similar correspondences in fact exist in various dynamical contexts.

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Lionel Nguyen Van Thé

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Thé, L.N.V. (2017). Fixed points in compactifications and combinatorial counterparts. https://arxiv.org/abs/1701.04257

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Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓