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arXiv · 1810.03062

Marked Groups with Isomorphic Cayley Graphs but Different Borel Combinatorics

Felix Weilacher
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Abstract

We construct pairs of marked groups with isomorphic Cayley graphs but different Borel chromatic numbers for the free parts of their shift graphs. This answers a question of Kechris and Marks. We also show that these graphs have different Baire measurable and measure chromatic numbers, answering analogous versions of the question.

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Felix Weilacher. 2018-10-06. Marked Groups with Isomorphic Cayley Graphs but Different Borel Combinatorics. https://arxiv.org/abs/1810.03062

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