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Maximal trees

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.

3 nodes2 linksoverview mapMaximal trees
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Maximal trees3 visible / 3 total nodes / 2 links
AuthorshipTopic signalWMaximal treespreprint / 2016AJoerg BrendleResearcherTmath.LO1661 works
PaperSignal 102 links

Maximal trees

preprint / 2016

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