Nonstandard Methods in Topological Ramsey Theory: Revisiting the Nash-Williams Theorem

Abstract: In this talk, we explore the application of nonstandard methods within the framework of topological Ramsey theory. Central to our discussion is a nonstandard proof of the Nash-Williams theorem. We further investigate the potential of extending both the proof and the theorem's results to the abstract setting of topological Ramsey theory, culminating in an examination of the abstract Nash-Williams theorem. Our aim is to offer an alternative perspective on well-established results, highlighting the intersections between nonstandard techniques and topological Ramsey theory.

combinatoricslogic

Audience: researchers in the topic

Online logic seminar

Series comments: Description: Seminar on all areas of logic