A Measurable Selection Theorem for Compact-Valued Maps.
A note on -metrizable spaces
In this paper, the relationships between metric spaces and -metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.
A note on sequence-covering -images of metric spaces
A note on -spaces and -metrizable spaces
In this paper, we give the mapping theorems on -spaces and -metrizable spaces by means of some sequence-covering mappings, mssc-mappings and -mappings.
A note on topological groups and their remainders
In this note we first give a summary that on property of a remainder of a non-locally compact topological group in a compactification makes the remainder and the topological group all separable and metrizable. If a non-locally compact topological group has a compactification such that the remainder of belongs to , then and are separable and metrizable, where is a class of spaces which satisfies the following conditions: (1) if , then every compact subset of the space is a...
A note on topological model theory
A note on weakly hereditarily closure-preserving families.
A ring to describe symbolic expressions.
Asymptotic values for uniformly convergent sequences of functions
Baire category in spaces of probability measures
Caractérisation d'espaces polonais d'après des travaux récents de J. P. R. Christensen et D. Preiss
Cartesian closed hull for metric spaces
Cartesian closed hull of uniform spaces
Coarea integration in metric spaces
Let be a metric space with a doubling measure, be a boundedly compact metric space and be a Lebesgue precise mapping whose upper gradient belongs to the Lorentz space , . Let be a set of measure zero. Then for -a.e. , where is the -dimensional Hausdorff measure and is the -codimensional Hausdorff measure. This property is closely related to the coarea formula and implies a version of the Eilenberg inequality. The result relies on estimates of Hausdorff content of level sets...
Common fixed points of maps on fuzzy metric spaces.
Compact images of spaces with a weaker metric topology
If is a space that can be mapped onto a metric space by a one-to-one mapping, then is said to have a weaker metric topology. In this paper, we give characterizations of sequence-covering compact images and sequentially-quotient compact images of spaces with a weaker metric topology. The main results are that (1) is a sequence-covering compact image of a space with a weaker metric topology if and only if has a sequence of point-finite -covers such that for each . (2) is a sequentially-quotient...
Complements of solenoids in are m-spaces
Completeness properties designed for recognizing Baire spaces [Book]
Convenient categories for topologists
Convexité topologique et prolongement des fonctions continues