On -images of locally separable metric spaces.
On -images of metric spaces.
On -images of separable metric spaces and a problem of Shou Lin
On -metrizable spaces, their continuous images and products
A space is said to be -metrizable if it has a -discrete -base. The behavior of -metrizable spaces under certain types of mappings is studied. In particular we characterize strongly -separable spaces as those which are the image of a -metrizable space under a perfect mapping. Each Tychonoff space can be represented as the image of a -metrizable space under an open continuous mapping. A question posed by Arhangel’skii regarding if a -metrizable topological group must be metrizable receives...
On --images of metric spaces.
On -discrete Borel mappings via quasi-metrics
On -discreteness in uniform spaces
On -porous sets in abstract spaces.
On σ-connected spaces
On σ-discrete coverings consisting of connected sets
On Σ-products of Σ-spaces
On -fixed point for maps on uniform spaces.
On -closed sets and their topology.
On -resolvable and almost--resolvable spaces
We continue the study of almost--resolvable spaces beginning in A. Tamariz-Mascar’ua, H. Villegas-Rodr’ıguez, Spaces of continuous functions, box products and almost--resoluble spaces, Comment. Math. Univ. Carolin. 43 (2002), no. 4, 687–705. We prove in ZFC: (1) every crowded space with countable tightness and every space with -weight is hereditarily almost--resolvable, (2) every crowded paracompact space which is the closed preimage of a crowded Fréchet space in such a way that the...
On ω-essential mappings onto manifolds
Once more on continuity of maximal monotone mappings
One dimensional locally setwise homogeneous continua
One folkloristic lemma on cardinal reflections in Unif
One more remark on reflections
One result on inverse limits and hyperspaces