Title

Creature Forcing and Topological Ramsey Spaces

Document Type

Article

Publication Date

8-18-2016

Keywords

Creature forcing, Topological Ramsey spaces, Product tree Ramsey theorem, Ultrafilter

Organizational Units

College of Natual Science and Mathematics, Mathematics

Abstract

This article introduces a line of investigation into connections between creature forcings and topological Ramsey spaces. Three examples of sets of pure candidates for creature forcings are shown to contain dense subsets which are actually topological Ramsey spaces. A new variant of the product tree Ramsey theorem is proved in order to obtain the pigeonhole principles for two of these examples.

Publication Statement

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