Semigroups of \(\mathcal I\)-density continuous functions

DOI10.1007/BF03025760zbMath0773.26002OpenAlexW2043313685MaRDI QIDQ1194438

Krzysztof Ostaszewski, Lee Larson, Krzysztof Chris Ciesielski

Publication date: 27 September 1992

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135182

zbMATH Keywords

density topology\({\mathcal I}\)-density topologysemigroups of continuous selfmaps\({\mathcal I}\)- density point\({\mathcal I}\)-density continuous functionsdeep-\({\mathcal I}\)-density points

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15)

Cites Work

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• Baire classification of -density and -approximately continuous functions
• Refinements of the Density and J-Density Topologies
• Automorphisms of the semigroup of all differentiable functions
• Topologies uniquely determined by their continuous self maps

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