On the structure of perfect sets in various topologies associated with tree forcings

DOI10.2478/s11533-012-0142-3zbMath1271.03068OpenAlexW2047819870MaRDI QIDQ1939360

Yanyan Li

Publication date: 4 March 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0142-3

zbMATH Keywords

perfect setsEllentuck topologyeventually different topologyHechler topologyperfect isomorphismSorgenfrey topology

Mathematics Subject Classification ID

Descriptive set theory (03E15) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Cites Work

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• A dual form of Ramsey's theorem
• Symmetries between two Ramsey properties
• A dichotomy theorem for the Ellentuck topology
• Finitely continuous Hamel functions
• Coinitial Families of Perfect Sets
• Hechler reals

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