Observations on spaces with zeroset or regular -diagonals
We show that if has countable extent and has a zeroset diagonal then is submetrizable. We also make a couple of observations regarding spaces with a regular -diagonal.
On an affirmative answer to Y. Tanaka's and Y. Ge's problem
In this paper, we give an affirmative answer to the problem posed by Y. Tanaka and Y. Ge (2006) in "Around quotient compact images of metric spaces, and symmetric spaces", Houston J. Math. 32 (2006) no. 1, 99-117.
On closed mappings
On compact spaces which are unions of certain collections of subspaces of special type
On convergent sequences and fixed point theorems in -metric spaces.
On countably paracompact spaces and closed maps
On generalizations of Lešnev's theorem
On local merotopic character
On monotonic generalizations of Moore spaces, Čech complete spaces and p-spaces
On natural metrics.
In the present note we study the effective construction of a natural generalized metric structure (on a set), obtaining as particular case the result of Menger. In the case of groups, we analyze its topology and its structure of natural proximity space (in the sense of Efremovic).
On some topologies on a generalized metric space.
On the concepts of balls in a -metric space.
On the definition of a probalistic normed space.
On the quasi-uniform convergence of transfinite sequences of functions.
On the topology of -metric spaces and generation of -metric spaces from metric spaces.
On the weak-open images of metric spaces
In this paper, we give characterizations of certain weak-open images of metric spaces.
On Topological Spaces With Dense Completely Metrizable Subspaces
On weak -metric
On weak-open -images of metric spaces
In this paper, we give some characterizations of metric spaces under weak-open -mappings, which prove that a space is -developable (or Cauchy) if and only if it is a weak-open -image of a metric space.
On --images of metric spaces.