On automatic homeomorphicity for transformation monoids

DOI10.1007/s00605-015-0767-yzbMath1419.54040arXiv1409.0841OpenAlexW3098354336MaRDI QIDQ907040

Maja Pech, Christian Pech

Publication date: 1 February 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0841

zbMATH Keywords

reconstructiontransformation monoidsmall index propertyhomogeneous structuretopological monoidautomatic homeomorphicity

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Models with special properties (saturated, rigid, etc.) (03C50) Automorphisms and endomorphisms of algebraic structures (08A35) Model theory of denumerable and separable structures (03C15)

Related Items (7)

On a stronger reconstruction notion for monoids and clones ⋮ Polymorphism clones of homogeneous structures: gate coverings and automatic homeomorphicity ⋮ Reconstructing the topology of the elementary self-embedding monoids of countable saturated structures ⋮ Fraïssé limits in comma categories ⋮ Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones ⋮ Polish topologies on endomorphism monoids of relational structures ⋮ Reconstructing the topology on monoids and polymorphism clones of the rationals

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