-regular Cauchy completions.
-sequential like properties in function spaces
We introduce the properties of a space to be strictly or strictly , where , and we analyze them and other generalizations of -sequentiality () in Function Spaces, such as Kombarov’s weakly and strongly -sequentiality, and Kocinac’s and -properties. We characterize these in in terms of cover-properties in ; and we prove that weak -sequentiality is equivalent to -property, where and , in the class of spaces which are -compact for every ; and that is a -space iff satisfies...
-topological and -regular: Dual notions in convergence theory.
-topological Cauchy completions.
Pairwise monotonically normal spaces.
Pairwise monotonically normal spaces
We introduce and study the notion of pairwise monotonically normal space as a bitopological extension of the monotonically normal spaces of Heath, Lutzer and Zenor. In particular, we characterize those spaces by using a mixed condition of insertion and extension of real-valued functions. This result generalizes, at the same time improves, a well-known theorem of Heath, Lutzer and Zenor. We also obtain some solutions to the quasi-metrization problem in terms of the pairwise monotone normality.
Pairwise s-normal spaces
Pairwise weakly Hausdorff spaces
In this paper, we introduce and investigate the notion of weakly Hausdorffness in bitopological spaces by using the convergent of nets. Several characterizations of this notion are given. Some relationships between these spaces and other spaces satisfying some separation axioms are studied.
Pairwise weakly regular-Lindelöf spaces.
Paracompacité et espaces uniformes
Paracompact box products in forcing extensions
Paracompactness and the Lindelöf property in finite and countable cartesian products
Paracompactness in box products
Paracompactness in countable products via the Souslin operation
Paracompactness in ordered spaces
Paracompactness in the class of closed images of GO-spaces
Paracompactness of topological completions
Paracompactness with respect to an ideal.
Partial discretization of topologies
In questo lavoro daremo una construzione che aumenta il numero di sottospazi chiusi e discreti dello spazio e daremo alcune applicazioni di tale construzione.
Partition continue de l'unite et C-repletion.