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Almost Disjoint Families and Topology

Michael Hrušák-2013-12-11-Atlantis Press eBooks
43

TL;DRAbstract

An infinite family $${\fancyscript{A}}\subset {\fancyscript{P}}(\omega )$$ is almost disjoint (AD) if the intersection of any two distinct elements of $${\fancyscript{A}}$$ is finite. We survey recent results on almost disjoint families, concentrating on their applications to topology.

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An infinite family $${\fancyscript{A}}\subset {\fancyscript{P}}(\omega )$$ is almost disjoint (AD) if the intersection of any two distinct elements of $${\fancyscript{A}}$$ is finite. We survey recent results on almost disjoint families, concentrating on their applications to topology.

Keywords

Disjoint setsIntersection (aeronautics)Topology (electrical circuits)MathematicsOmegaCombinatoricsPure mathematicsPhysics

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