A partial generalization of a theorem of Hursch
A perfectly normal locally metrizable non-paracompact space
A proof of the Moore metrization theorem
A property of semigroups on metric spaces.
A quantitative refinement of the closed graph theorem
A quasitopos containing CONV and MET as full subcategories.
A reconstruction theorem for locally moving groups acting on completely metrizable spaces
Let G be a group which acts by homeomorphisms on a metric space X. We say the action of G is locally moving on X if for every open U ⊆ X there is a g ∈ G such that g↾X ≠ Id while g↾(X∖U) = Id. We prove the following theorem: Theorem A. Let X,Y be completely metrizable spaces and let G be a group which acts on X and Y with locally moving actions. If the orbits of the action of G on X are of the second category in X and the orbits of the action of G on Y are of the second category...
A Regular Space Without a Uniformly Regular Quasi-Uniformity.
A remark on Fox's paper on shape
A remark on R. G. Woods' paper "The minimum uniform compactification of a metric space" (Fund. Math. 147 (1995), 39–59)
A question raised in R. G. Woods' paper has a simple solution.
A remark on the weak topology of the Hilbert space
A Remark on Variational Principles of Choban, Kenderov and Revalski
We consider some variational principles in the spaces C*(X) of bounded continuous functions on metrizable spaces X, introduced by M. M. Choban, P. S. Kenderov and J. P. Revalski. In particular we give an answer (consistent with ZFC) to a question stated by these authors.
A representation theorem for probabilistic metric spaces in general
In this paper, we present a representation theorem for probabilistic metric spaces in general.
A result for approximating fixed points of generalized weak contraction of the integral-type by using Picard iteration.
A ring to describe symbolic expressions.
A Sequentially Compact Non-compact Quasi-pseudometric Space.
A simple proof of Hausdorff's theorem on extending metrics
A Skorohod space of discontinuous functions on a general set
A strengthening of the proximally fine condition
A subclass of the class MOBI