Cardinal invariants of closed graphs

Francis Adams; Jindrich Zapletal

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arXiv · 1710.08075

Cardinal invariants of closed graphs

Francis Adams·Jindrich Zapletal

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Abstract

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.

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BibTeX RIS

Francis Adams, Jindrich Zapletal. 2017-10-23. Cardinal invariants of closed graphs. https://arxiv.org/abs/1710.08075

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