Results 71 to 80 of about 15,159 (191)
Graphical models for topological groups: A case study on countable Stone spaces
Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2311-2335, August 2025.Abstract By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley–Abels graph of a totally disconnected, locally compact group, we detail countable connected graphs associated to Polish groups that we term Cayley–Abels–Rosendal graphs.
Beth Branman +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 1999 First, we introduce sequential convergence structures and characterize Fréchet spaces and continuous functions in Fréchet spaces using these structures.
Woo Chorl Hong
doaj +1 more source
On the structure of support point sets
International Journal of Mathematics and Mathematical Sciences, 1990 Let X be a metrizable compact convex subset of a locally convex space. Using Choquet's Theorem, we determine the structure of the support point set of X when X has countably many extreme points. We also characterize the support points of certain families
E. Azoff, R. younis
doaj +1 more source
The character of free topological groups I
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in ...
Peter Nickolas, Mikhail Tkachenko
doaj +1 more source
On the Krein-Milman-Ky Fan theorem for convex compact metrizable sets
, 2016 The Krein-Milman theorem (1940) states that every convex compact subset of a Hausdorfflocally convex topological space, is the closed convex hull of its extreme points.
Bachir, Mohammed
core +1 more source
On approximation of mappings with values in the space of continuous functions
Karpatsʹkì Matematičnì Publìkacìï, 2012 Using a theorem on the approximation of the identity in the Banach space $C_u(Y)$ of all continuous functions$g: Yightarrow mathbb{R}$, defined on a metrizable compact $Y$ with theuniform norm, we prove that for a topological space $X$,a metrizable ...
Maslyuchenko V.K. +2 more
doaj
Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian) [PDF]
Математичні Студії, 2011 We prove that every semi-continuous function on a metrizable space is decompose into sum of two quasi-continuous functions. And then we obtain a new characterization of the oscillation of almost continuous functions.
O. V. Maslyuchenko
doaj
Completely metrizable spaces of embeddings [PDF]
Proceedings of the American Mathematical Society, 1982 A study is made of the complete metrizability of spaces of embeddings and spaces of homeomorphisms under the compact-open topology. It is shown that the space of continuous injections from a hemicompact metric space into a complete metric space is completely metrizable.
openaire +1 more source
, 2001 The notion of movability for metrizable compacts was introduced by K.Borsuk $[1]$. In this paper we define the notion of movable category and prove that the movability of a topological space $X$ coincides with the movability of a suitable category, which
Gevorgyan, P. S.
core
Regular extension operators for partial fuzzy (pseudo)metrics [PDF]
Математичні Студії, 2011 Using the fuzzy modification of the Prokhorov metric on the set of probability measures we prove the theorem on existence of simultaneous extensions of partial fuzzy metrics (for the Lukasiewicz t-norm) defined on closed subsets of a compact metrizable ...
A. Savchenko
doaj