Most transformation semigroups are free.

DOI10.1134/S000143461003017XzbMath1201.20062OpenAlexW2011863352MaRDI QIDQ1957070

V. V. Doroshenko

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461003017x

zbMATH Keywords

free semigroupstransformation semigroupscomplete metric spacesBaire category theoremcontinuous semigroupsendomorphisms of trees

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Transformation groups and semigroups (topological aspects) (54H15)

Cites Work

• The ubiquity of free subsemigroups of infinite triangular matrices
• Most Finitely Generated Permutation Groups are Free

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