Suitable sets for paratopological groups

DOI10.1007/s13398-021-01129-wOpenAlexW3200202948MaRDI QIDQ2239073

Fucai Lin, Tingting Shi, O. V. Ravskyj

Publication date: 2 November 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08233

zbMATH Keywords

topological groupparatopological groupsuitable setsaturated paratopological group

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Structure of topological semigroups (22A15) Connections of general topology with other structures, applications (54H99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Paratopological and semitopological groups versus topological groups
• Embedding the bicyclic semigroup into countably compact topological semigroups
• Resolvability: A selective survey and some new results
• Feebly compact paratopological groups and real-valued functions
• Weight and c
• On free paratopological groups
• Countably compact topological group topologies on free Abelian groups from selective ultrafilters
• Topological groups and related structures
• Embedding paratopological groups into topological products
• HFD groups in the Solovay model
• Additive subgroups of topological vector spaces
• Set theory. An introduction to large cardinals
• Suitable sets for topological groups
• On topological groups containing a Fréchet-Urysohn fan
• Paratopological groups. II
• Paratopological groups
• Some topological groups with and some without suitable sets
• Star covering properties
• Topological groups with thin generating sets
• On feebly compact paratopological groups
• Countably compact paratopological groups
• The regularity of quotient paratopological groups
• A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences
• Group reflection and precompact paratopological groups
• Each regular paratopological group is completely regular
• On the topology of free paratopological groups
• The Product of Two Countably Compact Topological Groups
• A separable normal topological group need not be Lindelöf
• NORMAL SUBGROUPS OF FREE PROFINITE GROUPS
• The Wallace Problem: A Counterexample from Ma_Countableand_p-Compactness
• A very general covering property
• On subgroups of saturated or totally bounded paratopological groups
• Countably compact groups from a selective ultrafilter
• Countably compact groups without non-trivial convergent sequences
• Oscillator topologies on a paratopological group and related number invariants
• Applications of the Theory of Boolean Rings to General Topology
• On $H$-closed extensions of topological spaces