Results 81 to 90 of about 307 (168)

Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian) [PDF]

open access: yesМатематичні 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  

Complete positivity and distance-avoiding sets. [PDF]

open access: yesMath Program, 2022
DeCorte E, Filho FMO, Vallentin F.
europepmc   +1 more source

Strongly $\sigma$-metrizable spaces are super $\sigma$-metrizable

open access: yes, 2016
A topological space $X$ is called strongly $\sigma$-metrizable if $X=\bigcup_{n\in\omega}X_n$ for an increasing sequence $(X_n)_{n\in\omega}$ of closed metrizable subspaces such that every convergence sequence in $X$ is contained in some $X_n$. If, in addition, every compact subset of $X$ is contained in some $X_n$, $n\in\omega$, then $X$ is called ...
openaire   +2 more sources

Quasi-metrizability

open access: yesTopology and its Applications, 1998
The author shows that quasi-(pseudo)metrizability of a topological space \(X\) is equivalent to the availability on \(X\) of a decreasing neighborhood base \((g(n,x))_{n\in \omega}\) at every \(x\in X\) such that for every countable and relatively locally finite \(A\subseteq X\) and \(n\in \omega\) we have \(g(\nu,g(\nu,A))\subseteq g(n,A)\) for some \(
openaire   +1 more source

Thermodynamic Formalism for General Iterated Function Systems with Measures. [PDF]

open access: yesQual Theory Dyn Syst, 2023
Brasil JE, Oliveira ER, Souza RR.
europepmc   +1 more source

Regular extension operators for partial fuzzy (pseudo)metrics [PDF]

open access: yesМатематичні 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  

К ВОПРОСУ О РАВНОМЕРНО СВЯЗНЫХ ПРОСТРАНСТВАХ

open access: yesПроблемы анализа, 2014
It is given the necessary and sufficient condition that a uniformly connected metrizable space to be an absolute retract in this ...
МОИСЕЕВ Е.В.
doaj  

On a lower continuity of upper continuous mappings with values in the Sorgenfrey line(in Ukrainian)

open access: yesМатематичні Студії, 2013
We shown that for each lower continuous finite valued mapping from metrizable topological space $X$ inSorgenfrey line the set of points of upper continuous is residual in $X$.
O. V. Maslyuchenko   +2 more
doaj  

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