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]
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]
DeCorte E, Filho FMO, Vallentin F.
europepmc +1 more source
Strongly $\sigma$-metrizable spaces are super $\sigma$-metrizable
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 ...
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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 \(
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Thermodynamic Formalism for General Iterated Function Systems with Measures. [PDF]
Brasil JE, Oliveira ER, Souza RR.
europepmc +1 more source
Regular extension operators for partial fuzzy (pseudo)metrics [PDF]
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
Ergodic decompositions of Dirichlet forms under order isomorphisms. [PDF]
Schiavo LD, Wirth M.
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К ВОПРОСУ О РАВНОМЕРНО СВЯЗНЫХ ПРОСТРАНСТВАХ
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)
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
Moduli spaces of compact RCD(0,N)-structures. [PDF]
Mondino A, Navarro D.
europepmc +1 more source

