Basis theorems for non-potentially closed sets and graphs of uncountable borel chromatic number

Journal of Mathematical Logic 8 (2):121-162 (2008)
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Abstract

We show that there is an antichain basis for neither the class of non-potentially closed Borel subsets of the plane under Borel rectangular reducibility nor the class of analytic graphs of uncountable Borel chromatic number under Borel reducibility.

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Citations of this work

Hypergraphs and proper forcing.Jindřich Zapletal - 2019 - Journal of Mathematical Logic 19 (2):1950007.
Acyclicity and reduction.Dominique Lecomte - 2019 - Annals of Pure and Applied Logic 170 (3):383-426.

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