Topologies on \(X\) as points within \(2^{{\mathcal P}(X)}\)

DOI10.1016/J.TOPOL.2012.05.014zbMath1273.54003arXiv1111.3212OpenAlexW2315243216MaRDI QIDQ439300

Jorge L. Bruno, Aisling E. McCluskey

Publication date: 16 August 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3212

zbMATH Keywords

subspaces of \(2^{P(X)}\)Top(X)

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Stone spaces (Boolean spaces) and related structures (06E15)

Cites Work

• Set theory. An introduction to independence proofs. 2nd print
• The lattice of topologies: a survey
• Basic intervals in the lattice of topologies
• Basic intervals in the partial order of metrizable topologies
• Measurable cardinals and finite intervals between regular topologies
• Finite intervals in the partial orders of zero-dimensional, Tychonoff and regular topologies
• On the combination of topologies
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