Add to ORKGA diagonal condition is defined which internally characterises those Cauchy spaces which have topological completions. The T2 diagonal Cauchy spaces allow both a finest and a coarsest T2 diagonal completion. The former is a completion functor, while the latter preserves uniformisability and has an extension property relative to θ-continuous maps
AbstractCertain diagonal axioms due to Kowalsky, Cook and Fischer are studied and compared
This study extends the notion of regularity series from convergence spaces to Cauchy spaces, and inc...
The primary objective of this paper is to consider a metric space (X,d) that is not complete and ana...
A diagonal condition is defined and used in characterizing the Cauchy spaces which have a strict, re...
A general procedure is introduced for identifying categories of Cauchy spaces which have completions...
Abstract. A completion of a Cauchy space is obtained without the T2 restriction on the space. This c...
ABSTRACT. Completion functors are constructed on various categories of Cauchy Spaces by forming the ...
ABSTRACT. A completion functor is constructed on the category of completely normal Cauchy groups and...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
A completion functor is constructed on the category of completely normal Cauchy groups and Cauchy-co...
Abstract. The duality between “regular ” and “topological ” as convergence space proper-ties extends...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
Diagonal axioms are defined in the category whose objects consist of all the lattice-valued converge...
Diagonal axioms are defined in the category whose objects consist of all the lattice-valued converge...
Certain diagonal axioms due to Kowalsky, Cook and Fischer are studied and compared. © 1996 Elevier S...
AbstractCertain diagonal axioms due to Kowalsky, Cook and Fischer are studied and compared
This study extends the notion of regularity series from convergence spaces to Cauchy spaces, and inc...
The primary objective of this paper is to consider a metric space (X,d) that is not complete and ana...
A diagonal condition is defined and used in characterizing the Cauchy spaces which have a strict, re...
A general procedure is introduced for identifying categories of Cauchy spaces which have completions...
Abstract. A completion of a Cauchy space is obtained without the T2 restriction on the space. This c...
ABSTRACT. Completion functors are constructed on various categories of Cauchy Spaces by forming the ...
ABSTRACT. A completion functor is constructed on the category of completely normal Cauchy groups and...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
A completion functor is constructed on the category of completely normal Cauchy groups and Cauchy-co...
Abstract. The duality between “regular ” and “topological ” as convergence space proper-ties extends...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
Diagonal axioms are defined in the category whose objects consist of all the lattice-valued converge...
Diagonal axioms are defined in the category whose objects consist of all the lattice-valued converge...
Certain diagonal axioms due to Kowalsky, Cook and Fischer are studied and compared. © 1996 Elevier S...
AbstractCertain diagonal axioms due to Kowalsky, Cook and Fischer are studied and compared
This study extends the notion of regularity series from convergence spaces to Cauchy spaces, and inc...
The primary objective of this paper is to consider a metric space (X,d) that is not complete and ana...