Zobrazeno 1 - 10
of 293
pro vyhledávání: '"54C08"'
Autor:
Bishnoi, Chander Mohan, Mishra, Sanjay
In this paper, we investigate various cardinal properties of the space $Q_{C}X$ of all real-valued quasicontinuous functions on the topological space $X$, under the topology of uniform convergence on compact subsets. It begins by examining the relati
Externí odkaz:
http://arxiv.org/abs/2412.02209
Autor:
Michler, Finn, Ghosh, Argha
We introduce multi-split continuous functions between topological spaces, a weaker form of continuity that generalizes split continuity while being stable under compositions. We will define the associated star multifunction and pre-multi-split multif
Externí odkaz:
http://arxiv.org/abs/2411.19745
Autor:
Mishura, Teddy
We present a characterization of Robinsonian $L^p$ graphons for $p > 5$. Each $L^p$ graphon $w$ is the limit object of a sequence of edge density-normalized simple graphs $\{G_n/\|G_n\|_1\}$ under the cut distance $\delta_{\Box}$. A graphon $w$ is Ro
Externí odkaz:
http://arxiv.org/abs/2411.18886
Autor:
Han, Sang-Eon
In the literature of a digital-topological ($DT$-, for brevity) group structure on a digital image $(X,k)$, roughly saying, two kinds of methods are shown. Given a digital image $(X,k)$, the first one, named by a $DT$-$k$-group, was established in 20
Externí odkaz:
http://arxiv.org/abs/2410.23565
Autor:
Liseev, Mikhail Yourievich
In the article a technique of the usage of $f$-continuous functions (on mappings) and their families is developed. A proof of the Urysohn's Lemma for mappings is presented and a variant of the Brouwer-Tietze-Urysohn Extension Theorem for mappings is
Externí odkaz:
http://arxiv.org/abs/2406.08061
We consider two natural topologies on the space $S(X\times Y,Z)$ of all separately continuous functions defined on the product of two topological spaces $X$ and $Y$ and ranged into a topological or metric space $X$. These topologies are the cross-ope
Externí odkaz:
http://arxiv.org/abs/2406.05705
Autor:
Gutik, Oleg
We find anti-isomorphic submonoids $\mathscr{C}_{+}(a,b)$ and $\mathscr{C}_{-}(a,b)$ of the bicyclic monoid $\mathscr{C}(a,b)$ with the following properties: every Hausdorff left-continuous (right-continuous) topology on $\mathscr{C}_{+}(a,b)$ ($\mat
Externí odkaz:
http://arxiv.org/abs/2405.16992
Autor:
Ayhan, B. S.
The main purpose of this study is to introduce and study two new classes of continuity called eR-continuous functions and weakly eR-continuous functions via e-regular sets. Both of the forms of continuous functions we have described are stronger than
Externí odkaz:
http://arxiv.org/abs/2405.09294
Autor:
Sanders, Sam
Continuity is one of the most central notions in mathematics and related areas. An interesting related topic is decompositions of continuity, where continuity is shown to be equivalent to the combination of two or more weak continuity notions. Now, f
Externí odkaz:
http://arxiv.org/abs/2405.06420
Autor:
Valent, Tullio
Two approaches to Lipschitz structures for any set are presented, studied and compared. The first approach is similar to the one proposed in Fraser, Jr. R. B., Axiom systems for Lipschitz structures, Fundamenta Mathematicae, (1970), where Lipschitz s
Externí odkaz:
http://arxiv.org/abs/2404.14026