A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Marked groups with isomorphic Cayley graphs but different Borel combinatorics

Volume 251 / 2020

Felix Weilacher Fundamenta Mathematicae 251 (2020), 69-86 MSC: Primary 03E15. DOI: 10.4064/fm863-2-2020 Published online: 20 March 2020

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.

Authors

  • Felix WeilacherCarnegie Mellon University
    5000 Forbes Ave
    Pittsburgh, PA 15213, U.S.A.
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image