Abstract. A completion of a Cauchy space is obtained without the T2 restriction on the space. This completion enjoys the universal property as well. The class of all Cauchy spaces with a special class of morphisms called s-maps form a subcategory CHY ′ of CHY. A com-pletion functor is defined for this subcategory. The completion subcategory of CHY ′ turns out to be a bireflective subcategory of CHY′. This theory is applied to obtain a characteri-zation of Cauchy spaces which allow regular completion
This thesis explores several different notions of completion. In chapter 2, the representation of a ...
C(X) is the ring or vector lattice of real valued con tinuous functions on the Tychonoff space X, an...
A diagonal condition is defined and used in characterizing the Cauchy spaces which have a strict, re...
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 ...
A general procedure is introduced for identifying categories of Cauchy spaces which have completions...
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...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
Abstract. The duality between “regular ” and “topological ” as convergence space proper-ties extends...
A diagonal condition is defined which internally characterises those Cauchy spaces which have topolo...
Over the last 30 years, the constructions of regular and exact completions of weakly lex categories ...
Uniform spaces can be Cauchy-completed; and if the base space was a first-order structure, this stru...
For a given class X of T0 spaces the existence of a subclass C, having the same properties that the ...
This thesis explores several different notions of completion. In chapter 2, the representation of a ...
C(X) is the ring or vector lattice of real valued con tinuous functions on the Tychonoff space X, an...
A diagonal condition is defined and used in characterizing the Cauchy spaces which have a strict, re...
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 ...
A general procedure is introduced for identifying categories of Cauchy spaces which have completions...
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...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
Abstract. The duality between “regular ” and “topological ” as convergence space proper-ties extends...
A diagonal condition is defined which internally characterises those Cauchy spaces which have topolo...
Over the last 30 years, the constructions of regular and exact completions of weakly lex categories ...
Uniform spaces can be Cauchy-completed; and if the base space was a first-order structure, this stru...
For a given class X of T0 spaces the existence of a subclass C, having the same properties that the ...
This thesis explores several different notions of completion. In chapter 2, the representation of a ...
C(X) is the ring or vector lattice of real valued con tinuous functions on the Tychonoff space X, an...
A diagonal condition is defined and used in characterizing the Cauchy spaces which have a strict, re...