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A collection of topological Ramsey spaces of trees and their application to profinite graph theory

A collection of topological Ramsey spaces of trees and their application to profinite graph theory We construct a collection of new topological Ramsey spaces of trees. It is based on the Halpern-Läuchli theorem, but different from the Milliken space of strong subtrees. We give an example of its application by proving a partition theorem for profinite graphs. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

A collection of topological Ramsey spaces of trees and their application to profinite graph theory

Archive for Mathematical Logic , Volume 57 (8) – Feb 10, 2018

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s00153-018-0617-4
Publisher site
See Article on Publisher Site

Abstract

We construct a collection of new topological Ramsey spaces of trees. It is based on the Halpern-Läuchli theorem, but different from the Milliken space of strong subtrees. We give an example of its application by proving a partition theorem for profinite graphs.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Feb 10, 2018

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