Keywords: 22A05; 54A25; 54E25; 54E30; 54E35; 54G20; 54H11; Moore space; Quasitopological group; Semitopological group; Sequentially continuous; Three-space property;
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Keywords: primary; 54D65; secondary; 22A05; 46A03; Topological group; Closed subgroup; Locally convex space; Separable; Pseudocompact; Pseudocomplete;
Keywords: primary; 54B20; 54B10; 22F50; secondary; 30C65; 30L10; 22A05; Isometry; Symmetric product; Topological groups; Semidirect product; Normed space; âpq;
Keywords: primary; 54D35; 54H11; 22A05; 22A10; secondary; 54B05; Domain representable; Topological group; Dense subset;
Keywords: primary; 54H11; 22A05; secondary; 54B15; 54D30; 54E35; Three-space property; Paratopological group; First-countable; Second-countable; Countable network;
Keywords: 22A05; 54H11; 54C65; 46A30; Topological group; Splitting; Cross section; Pseudo-homomorphism; Closed graph theorem;
Keywords: primary; 46A50; 54C35; secondary; 22A05; 37B05; 54H11; 54H20; Almost equicontinuous; Äech-completeness; Dynamical system; Fragmentability; Pointwise convergence topology; Topological group;
Keywords: primary; 54E52; secondary; 22A05; 22C05; 54C35; 54E35; Baire property; Completeness properties; Metric spaces; Topological groups; Function spaces; Factorization;
Keywords: primary; 03E15; 22A05; secondary; 54H05; 54H11; Polish group; Orbit equivalence relation; Borel reducible; Borel equivalence relation; Non-archimedean; Tame; Essentially countable; Essentially hyperfinite;
Keywords: primary; 22A05; secondary; 20K25; 20K45; 54A25; 54D05; 54H11; (Locally) connected group; (Locally) pathwise connected group; Unconditionally closed subgroup; Markov's problem; Hartman-Mycielski construction; Ulm-Kaplanski invariants;
Keywords: 18B30; 22A05; 22A10; 22A25; 54H11Small subgroup generating property; SSGP group; Minimally almost periodic group; Functorial topology; Subgroup topology; Subgroup interior operator; Ulm–Kaplanski invariants; Divisible weight; Divisible rank
Keywords: primary; 03E35; 54H11; secondary; 22A05; 54G05; Topological group; Maximally almost periodic; Totally bounded; Extremally disconnected; Discrete subset; Convergent sequence; Rapid ultrafilter; P-point; Selective ultafilter;
Keywords: 20E06; 22A05; 54H11Free products; Bi-invariant metrics; Universal properties
Keywords: 22A05; 54A25; 54D20; 54G20; 54H11; Semitopological group; Paratopological group; Condensation; Ï-narrow; Hausdorff number;
Keywords: 22A05; 22C05; Arc-component; One-parameter subgroup; Lie algebra; Exponential function; Pontryagin duality; Real character;
Keywords: 22A05; 54E20; 54E35; 54H11Rectifiable spaces; Locally σ-compact; Locally compact; Paracompact; Zero-dimension; kωkω-Spaces; Rectifiable complete spaces
Keywords: 54E20; 54E35; 54H11; 22A05; Free topological groups; Networks; k-Network; csf-Countable; k-Spaces; snf-Countable; Countable tightness; Separable; Discrete; âµ0-weakly first-countable;
Keywords: 54H11; 22A05; 54A20; 54E45; 54D55; 54E20; 54D05Topological group; Quotient group; Three space property; Extension of a group; Sequentially compact; Sequential; Fréchet; First-countable; Second-countable; Metrizable; cs-Network; k-Network; Locally compact;
Keywords: primary; 22A05; 54H11; secondary; 54D30; 54G20; Compact; Precompact; Bounded; Strongly bounded; Hausdorff number; Totally Ï-narrow;
Keywords: primary; 54H11; 22A05; secondary; 54A35; 54G20; Countable compactness; Countably compact square; Topological group;
Keywords: 03E35; 54E35; 54H11; 03E75; 22A05; 54A20Fréchet groups; ω-hitting families; Iterated forcing
Keywords: primary; 22A15; 54H11; secondary; 22A05; 54G05; Stone-Äech compactification; Ultrafilter; Idempotent; Almost maximal topological group; Strongly complete left invariant topology; Maximal principal left ideal;
Keywords: Lie group; Local Lie group; Top space22E05; 22E15; 22E99; 22A05; 55M10
Keywords: 22A05; 54A20; 54D50; 54D55
On cancellable Abelian groups
Keywords: 22A05; 54H11; Cancellable abelian group; Quasicyclic p-group; Divisible group; Discrete group;
Zariski topology and Markov topology on groups
Keywords: 20E05; 20F18; 20F70; 22A05; 54H11; Topologizable group; Non-topologizable group; Noetherian space; Zariski topology; Markov topology; Centralizer topology; Minimally almost periodic group; von Neumann kernel;
A non-Ï-balanced paratopological group with countable Ï-character
Keywords: 22A05; 54A10; 54A25; 54G20; 54H11; Paratopological group; Ï-Narrow; Ï-Balanced; Saturated; Weak extent;
Completeness of locally kÏ-groups and related infinite-dimensional Lie groups
Keywords: primary; 22E65; 22A05; 46A13; 46M40; 58D05; Infinite-dimensional Lie group; Silva space; (DFS)-space; Hemicompact space; Compactly generated space; Direct limit; Completeness;
snf-Countability and csf-countability in F4(X)
Keywords: primary; 54H11; 22A05; secondary; 54E20; 54E35; 54D50; Free topological groups; Fréchet-Urysohn spaces; k-Spaces; snf-Countable spaces; csf-Countable spaces; Ï-Spaces; kâ-Metrizable spaces; k-Semistratifiable spaces;
Partially paratopological groups
Keywords: primary; 22A05; 54A05; secondary; 03E25; Generalized topology; Strict continuity; Partially topological group; Partially paratopological group;
Selective sequential pseudocompactness
Keywords: primary; 54D30; secondary; 22A05; 22C05; 54A20; 54H11; Convergent sequence; Sequentially compact; Pseudocompact; Strongly pseudocompact; Sequentially pseudocompact; Topological group; Free abelian group; Variety of groups;
The Mackey topology problem: A complete solution for bounded groups
Keywords: primary; 22A05; 43A40; secondary; 20E34; 20K45; Bounded torsion group; Locally quasi-convex topology; Precompact topology; Mackey topology;
On the Mackey topology for abelian topological groups and locally convex spaces
Keywords: 22A05; 43A40; 54H11Locally quasi-convex topology; Mackey topology; Locally convex space; Locally precompact group; T-sequence; Characterizable group
Completeness properties of group topologies for RR
Keywords: 22A05; 43A40Complete topological group; Open Mapping Theorem; Dual group; Pontryagin Duality Theorem; Metrizable group
On uniform spaces with a small base and K -analytic Cc(X)Cc(X) spaces
Keywords: 54E15; 22A05; 54D20; 46E10Uniform space; Topological group; GG-base; K-analytic space
Topological groups with a bc-base
Keywords: 22A05; 54H11; 54F45; 54D35bc-Base; Small inductive dimension; Rimcompact; Zero-dimensional; Topological group; Free topological group; Zambakhidze's question
p-Boundedness in paratopological groups
Keywords: 22A05; 54H11; 54D30; 54G20; p-Bounded subset; C-compact subset; Hausdorff number; Submetrizable space; Ï-Admissible paratopological group; Locally feebly compact paratopological group;
On Hewitt groups and finer locally compact group topologies
Keywords: 22A05; 22B05; 54H05Locally compact abelian group; Finer topology; Polishable subgroup; Circle group; Reals; p-Adic integers
On quasitopological groups
Keywords: 22A05; 54E25; 54E35; 54E18; 54E30Quasitopological group; Semi-stratifible; Semi-metrizable; g-Function
Paratopological groups with a Gδ-diagonal of infinite rank
Keywords: 22A05; 54A25; 54H11; 54H13; Semitopological group; Paratopological group; Ï-Character; Gδ-diagonal of infinite rank; Ï-Narrow; Hausdorff number;
The character of topological groups, via bounded systems, Pontryagin-van Kampen duality and pcf theory
Keywords: primary; 22A05; 22D35; 54H11; 03E04; 54A25; secondary; 22B05; 43A40; 03E17; 03E35; 03E75; Character of a topological group; Dual group; Pontryagin van Kampen duality; Compact-open topology; Metrizable group; Locally quasi-convex group; Bounded sets; Free
Cardinal invariants and RR-factorizability in paratopological groups
Keywords: 22A05; 54A25; 54B10; 54C05; 54C10; 54H11Paratopological group; Cardinal invariant; RR-factorizability; ω-Quasi-uniform continuity; Property ω-QU; τ-Narrow
Universal valued Abelian groups
Keywords: primary; 54H11; secondary; 20K45; 22A05; 46A99; Valued Abelian group; Abelian group of finite exponent; Polish group; Universal Polish Abelian group; Urysohn universal metric space; Extending continuous homomorphisms; Universal disposition property; Topol
On topologizable and non-topologizable groups
Keywords: 22A05; 20F05; 20F06; 20F65; 20F67; 20B22Topological group; c-compact group; Non-topologizable group; Non-discrete topology; Tarski Monster; Hyperbolic group
On refinements of Ï-bounded group topologies
Keywords: 22A05; 54D60; 54610; Precompact group; Bohr compactification; Ï-Bounded; Realcompact; P-group;
A Kronecker-Weyl theorem for subsets of abelian groups
Keywords: primary; 20K30; secondary; 03E15; 11K36; 11K60; 22A05; 37B05; 54D65; 54E52; Uniform distribution; Weyl criterion; Zariski closure; Zariski topology; Potentially dense set; Markov problem; Diophantine approximation; Discrete flow; Bohr topology; Bohr compa
Abelian groups admitting a Fréchet–Urysohn pseudocompact topological group topology
Keywords: 22A05; 54H11; 20K25; 20K45; 54A20
Minimum topological group topologies
Keywords: 20B27; 22A05; 22F50; 54F05; 54H15; 57S05;
Fréchet–Urysohn fans in free topological groups
Keywords: 18B30; 22A05; 54C20; 54E35; 54F15
Precompact abelian groups and topological annihilators
Keywords: 22C05; 54A20; 54D60 (06A15; 22A05; 54H11)