Power stability of k-spaces and compactness
Powers of spaces of non-stationary ultrafilters
Preclosed multivalued mappings
Precompact contraction of metric uniformities, and the continuity of
Precompactness and total boundedness in products of metric spaces.
Précompactologies et structures uniformes
Preconvergence compactness and p-closed spaces.
Preface
Preface
Preface
Preference numbers and funnel dimension
Préimages d’espaces héréditairement de Baire
The main result is slightly more general than the following statement: Let f: X → Y be a quasi-perfect mapping, where X is a regular space and Y a Hausdorff totally non-meagre space; if X or Y is χ-scattered, or if Y is a Lasnev space, then X is totally non-meagre. In particular, the product of a compact space X and a Hausdorff regular totally non-meagre space Y which is χ-scattered or a Lasnev space, is totally non-meagre.
Preimages of Baire spaces
A simple machinery is developed for the preservation of Baire spaces under preimages. Subsequently, some properties of maps which preserve nowhere dense sets are given.
Preparacompactness and ℵ-preparacompactness in q-spaces
Prescribed ultrametrics
Presentations of subshifts and their topological conjugacy invariants.
Preservation and reflection of properties acc and hacc
The aim of the paper is to study the preservation and the reflection of acc and hacc spaces under various kinds of mappings. In particular, we show that acc and hacc are not preserved by perfect mappings and that acc is not reflected by closed (nor perfect) mappings while hacc is reflected by perfect mappings.
Preservation of properties of a map by forcing
Let be a continuous map such as an open map, a closed map or a quotient map. We study under what circumstances remains an open, closed or quotient map in forcing extensions.
Preservation of the Borel class under open-LC functions
Let X be a Borel subset of the Cantor set C of additive or multiplicative class α, and f: X → Y be a continuous function onto Y ⊂ C with compact preimages of points. If the image f(U) of every clopen set U is the intersection of an open and a closed set, then Y is a Borel set of the same class α. This result generalizes similar results for open and closed functions.
Presheaves over the sets which need not be well ordered, functional separation of their inductive limits and their representation by sections