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arXiv · 1811.07419

Distance from marker sequences in locally finite Borel graphs

Clinton T. Conley·Andrew S. Marks
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Abstract

We show that a locally finite Borel graph is nonsmooth if and only if it admits marker sequences which are "far" from every point. Our proof uses the Galvin-Prikry theorem and the Glimm-Effros dichotomy.

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Clinton T. Conley, Andrew S. Marks. 2018-11-18. Distance from marker sequences in locally finite Borel graphs. https://arxiv.org/abs/1811.07419

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