Cowellpoweredness of some categories of quasi-uniform spaces
DOI10.1007/s10485-018-9523-5zbMath1408.18002OpenAlexW2796064576WikidataQ130039171 ScholiaQ130039171MaRDI QIDQ1633193
Dikran Dikranjan, Hans-Peter A. Künzi
Publication date: 19 December 2018
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10485-018-9523-5
uniform spaceepimorphism\(\theta\)-closurequasi-uniform spacesequential closurecowellpoweredness(regular, semiregular) closure operator\(\rho\)-separated space\(S(\alpha)\)-spacecowellpowered category
Categorical methods in general topology (54B30) Uniform structures and generalizations (54E15) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Adjunction spaces and similar constructions in general topology (54B17)
Related Items
Cites Work
- Some categorical aspects of coarse spaces and balleans
- Categorical neighborhood operators
- The category of Urysohn spaces is not cowellpowered
- Interior and closure operators on texture spaces. I: Basic concepts and Čech closure operators
- Interior and closure operators on texture spaces. II: Dikranjan-Giuli closure operators and Hutton algebras
- Neighborhoods with respect to a categorical closure operator
- Closure operators. I
- S(n)-\(\theta\)-closed spaces
- Functorial admissible quasi-uniformities on topological spaces
- Epi und extremer Mono in \(T_{2a}\)
- Large sources and closure operators in topological constructs
- Characterizing uniform continuity with closure operations
- The category of \(S(\alpha)\)-spaces is not cowellpowered
- A diagonal theorem for epireflective subcategories of Top and cowellpoweredness
- Separation and epimorphisms in quasi-uniform spaces
- Quotients of uniform spaces
- S(a) spaces and regular Hausdorff extensions
- On spaces in which every bounded subset is Hausdorff
- Categorical Closure Operators
- Nontransitive quasi-uniformities in the Pervin quasi-proximity class
- THE IMPACT OF CLOSURE OPERATORS ON THE STRUCTURE OF A CONCRETE CATEGORY
- Continua which admit only the identity mapping onto non-degenerate subcontinua
- 𝐻-closed topological spaces
- Verbal covering properties of topological spaces
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item