Add to ORKGA general procedure is introduced for identifying categories of Cauchy spaces which have completions which possess a certain convergence property P, and for constructing completion functors on such categories. These results are applied to obtain a characterization of Cauchy spaces which allow T 3 completions, and to construct T 3 completions for categories of Cauchy groups and Cauchy lattices
The concept of a convergence tower space, or equivalently, a convergence approach space is formulate...
This thesis explores several different notions of completion. In chapter 2, the representation of a ...
To complete a category is to embed it into a larger one which is closed under a given type of limits...
A completion functor is constructed on the category of completely normal Cauchy groups and Cauchy-co...
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...
Abstract. A completion of a Cauchy space is obtained without the T2 restriction on the space. This c...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
This study extends the notion of regularity series from convergence spaces to Cauchy spaces, and inc...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
A Cauchy semigroup acting continuously on a Cauchy space is investigated. In particular, the questio...
We define lattice-valued Cauchy spaces. The category of these spaces is topological over SET and car...
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...
AbstractA notion of Cauchy sequence in quasi-metric spaces is introduced and used to define a standa...
The concept of a convergence tower space, or equivalently, a convergence approach space is formulate...
This thesis explores several different notions of completion. In chapter 2, the representation of a ...
To complete a category is to embed it into a larger one which is closed under a given type of limits...
A completion functor is constructed on the category of completely normal Cauchy groups and Cauchy-co...
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...
Abstract. A completion of a Cauchy space is obtained without the T2 restriction on the space. This c...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
This study extends the notion of regularity series from convergence spaces to Cauchy spaces, and inc...
The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions ...
A Cauchy semigroup acting continuously on a Cauchy space is investigated. In particular, the questio...
We define lattice-valued Cauchy spaces. The category of these spaces is topological over SET and car...
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...
AbstractA notion of Cauchy sequence in quasi-metric spaces is introduced and used to define a standa...
The concept of a convergence tower space, or equivalently, a convergence approach space is formulate...
This thesis explores several different notions of completion. In chapter 2, the representation of a ...
To complete a category is to embed it into a larger one which is closed under a given type of limits...