RESOLVABILITY PROPERTIES OF SIMILAR TOPOLOGIES

DOI10.1017/S0004972715001021zbMath1332.54009OpenAlexW2114976038MaRDI QIDQ3458387

Sebastian Lindner

Publication date: 18 December 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715001021

zbMATH Keywords

nowhere dense setsdensity topologyalgebra of setsresolvabilitysemi-open setssemi-correspondencesimilar topologies\(\pi\)-relationnowhere dense boundary

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Topological spaces and generalizations (closure spaces, etc.) (54A05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Density, gaps, topology (11B05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (2)

RESOLVABILITY OF MEASURABLE SPACES ⋮ On separating axioms and similarity of soft topological spaces

Cites Work

• MB-representations and topological algebras.
• Strongly irresolvable spaces
• Algebras with inner MB-representation
• The density topology can be not extraresolvable
• On submaximal spaces
• Extraresolvable spaces
• Maximally resolvable lower density spaces
• A problem of set-theoretic topology
• Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps
• When an Atomic and Complete Algebra of Sets is a Field of Sets with Nowhere Dense Boundary
• On Semi-Open Sets and Semi-Continuity

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