-embeddings, AR and ANR spaces.
-regular Cauchy completions.
-topological Cauchy completions.
Packing measures on ultrametric spaces
Pairwise closure-preserving collections and pairwise paracompactness
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
Paracompactness in ordered spaces
Paratopological (topological) groups with certain networks
In this paper, we discuss certain networks on paratopological (or topological) groups and give positive or negative answers to the questions in [Lin2013]. We also prove that a non-locally compact, -gentle paratopological group is metrizable if its remainder (in the Hausdorff compactification) is a Fréchet-Urysohn space with a point-countable cs*-network, which improves some theorems in [Liu C., Metrizability of paratopological semitopological groups, Topology Appl. 159 (2012), 1415–1420], [Liu...
Partially ordered sets with projections and their topology [Book]
Partitioning spaces into homeomorphic rigid parts
Peano compactifications and property S metric spaces.
Perfect pre-images of cofinally complete metric spaces
We show that a Tychonoff space is the perfect pre-image of a cofinally complete metric space if and only if it is paracompact and cofinally Čech complete. Further properties of these spaces are discussed. In particular, cofinal Čech completeness is preserved both by perfect mappings and by continuous open mappings.
Perfectness of the Higson and Smirnov compactifications
We provide a necessary and sufficient condition for the Higson compactification to be perfect for the noncompact, locally connected, proper metric spaces. We also discuss perfectness of the Smirnov compactification.
Period structure for pointwise periodic isometries of continua
Ph-closed bitopological spaces