The CH conjecture for concentrated MAD families
The CH conjecture for concentrated MAD families
A MAD family is a maximal almost disjoint family of infinite subsets of . A family is concentrated on a countable subset of itself if there is a countable subfamily such that every open set containing that subfamily contains all but countably many members of the whole family. CH conjecture. The continuum hypothesis implies that there exists a MAD family concentrated on a countable subset of itself. The source gives related consistency results for concentrated MAD families and notes that large-cardinal results motivate this conjecture; its resolution is not supplied.
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Sources & referencesView supporting material
Primary source
Arnold W. Miller, “A Mad Q-set”, arXiv:math/0212335 (2002).
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