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Cardinal invariants of closed graphs

We study several cardinal characteristics of closed graphs G on compact metrizable spaces. In particular, we address the question when it is consistent for the bounding number to be strictly smaller than the smallest size of a set not covered by countably many compact G-anticliques. We also provide a descriptive set theoretic characterization of the class of analytic graphs with countable coloring number.

preprint2020arXivOpen access
Francis AdamsJindrich Zapletal
math.LO
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Open access2 authors1 topic
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Francis AdamsJindrich Zapletal

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