Every Cech-analytic Baire semitopological group is a topological group
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Publication:4875545
DOI10.1090/S0002-9939-96-03384-9zbMath0857.22001MaRDI QIDQ4875545
Publication date: 5 June 1996
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Groups acting on specific manifolds (57S25) Structure of general topological groups (22A05) Analysis on topological semigroups (22A20) (p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Transformation groups and semigroups (topological aspects) (54H15)
Related Items (47)
Continuity in topological groups ⋮ Quasicontinuous functions, minimal usco maps and topology of pointwise convergence ⋮ Notes on remainders of topological spaces in some compactifications ⋮ Automatic continuity of group operations ⋮ Quasicontinuous subcontinuous functions and compactness ⋮ Continuity of separately continuous mappings ⋮ Some Baire semitopological groups that are topological groups ⋮ Continuity of separately continuous group actions in p-spaces ⋮ The semi-Polish theorem: one-sided vs joint continuity in groups ⋮ On remainders of locally \(s\)-spaces ⋮ Subgroups of products of paratopological groups ⋮ Semitopological groups, Bouziad spaces and topological groups ⋮ Some concepts of topology and questions in topological algebra ⋮ Analytically heavy spaces: analytic Cantor and analytic Baire theorems ⋮ Quasicontinuous functions and compactness ⋮ Any semitopological group that is homeomorphic to a product of Čech-complete spaces is a topological group ⋮ Quasicontinuous functions and the topology of pointwise convergence ⋮ On feebly compact paratopological groups ⋮ ON -UNFAVOURABLE SPACES ⋮ Pointwise convergence of quasicontinuous mappings and Baire spaces ⋮ Metrizability of paratopological (semitopological) groups ⋮ Isometry groups of proper metric spaces ⋮ \(H\)-closed quasitopological groups ⋮ An asymmetric Ellis theorem ⋮ Totally Lindelöf and totally \(\omega \)-narrow paratopological groups ⋮ \(c\)-compactness in locally compact groups and paratopological groups ⋮ Topological games and topological groups ⋮ Continuity points of quasi-continuous mappings. ⋮ Feebly compact paratopological groups and real-valued functions ⋮ Compactness in function spaces ⋮ Paratopological and semitopological groups versus topological groups ⋮ Topological games and continuity of group operations ⋮ On fundamental groups with the quotient topology ⋮ Norm continuity of pointwise quasi-continuous mappings ⋮ Norm continuity of weakly continuous mappings into Banach spaces ⋮ On transitive topological group actions ⋮ Metrizability of the space of quasicontinuous functions ⋮ There are \(2^{\mathfrak{c}}\) quasicontinuous non Borel functions on uncountable Polish space ⋮ Even continuity and topological equicontinuity in topologized semigroups ⋮ A note on compact-like semitopological groups ⋮ Points of continuity of quasi-continuous functions ⋮ There are 2c Quasicontinuous Non-Lebesgue Measurable Functions ⋮ Joint continuity of separately continuous mappings ⋮ Pseudocompact Topological Groups ⋮ Baire property in product spaces ⋮ Sigma-fragmentability of mappings into \(C_p(K)\) ⋮ The continuity of inverse in groups
Cites Work
- Unnamed Item
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- Unnamed Item
- The Ellis theorem and continuity in groups
- Locally compact transformation groups
- Borel selectors for upper semi-continuous set-valued maps
- Another note on the continuity of the inverse
- Quasicontinuity and Namioka's theorem
- Extension of functions defined on products of pseudocompact spaces and continuity of the inverse in pseudocompact groups
- A note on closed maps and compact sets
- Relations among continuous and various non-continuous functions
- A Note on the Continuity of the Inverse
- Continuity of the Inverse
- Joint Continuity of Separately Continuous Functions
- Topologically Complete Groups
- The structure of topological semigroups
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