Relative ranks of Lipschitz mappings on countable discrete metric spaces

DOI10.1016/j.topol.2010.11.020zbMath1222.54037OpenAlexW2066257048MaRDI QIDQ624410

Yann Peresse, James D. Mitchell, Michał Morayne, Jacek Cichoń

Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.11.020

zbMATH Keywords

semigroupLipschitz mappingcontinuous mappingdiscrete metric spacerelative rank

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Function spaces in general topology (54C35) Metric spaces, metrizability (54E35)

Related Items (2)

Generating Borel measurable mappings with continuous mappings ⋮ John Macintosh Howie: work and legacy

Cites Work

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• Closed subgroups of the infinite symmetric group.
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• The Cichoń diagram
• Generating continuous mappings with Lipschitz mappings
• On ideals of subsets of the plane and on Cohen reals
• Generators and factorisations of transformation semigroups
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• COUNTABLE VERSUS UNCOUNTABLE RANKS IN INFINITE SEMIGROUPS OF TRANSFORMATIONS AND RELATIONS
• GENERATING THE FULL TRANSFORMATION SEMIGROUP USING ORDER PRESERVING MAPPINGS
• Generating Countable Sets of Permutations
• RANK PROPERTIES OF ENDOMORPHISMS OF INFINITE PARTIALLY ORDERED SETS

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