Maximal trees
classification
🧮 math.LO
keywords
maximalomegasizesubtreesthereanswerarbitrarybelow
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We show that, consistently, there can be maximal subtrees of P (omega) and P (omega) / fin of arbitrary regular uncountable size below the size of the continuum. We also show that there are no maximal subtrees of P (omega) / fin with countable levels. Our results answer several questions of Campero, Cancino, Hrusak, and Miranda.
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