Zobrazeno 1 - 10
of 333
pro vyhledávání: '"54A10"'
Autor:
Gutik, Oleg, Maksymyk, Kateryna
We describe the structure of ($0$-)simple inverse Hausdorff semitopological $\omega$-semigroups with compact maximal subgroups. In particular, we show that if $S$ is a simple inverse Hausdorff semitopological $\omega$-semigroup with compact maximal s
Externí odkaz:
http://arxiv.org/abs/2409.06344
In this paper, we explore the interplay between topological structures and phase retrieval in the context of projective Hilbert spaces. This work provides not only a deeper understanding and a new classification of the phase retrieval property in Hil
Externí odkaz:
http://arxiv.org/abs/2408.05317
A topological space $Y$ has the property (B) of Banakh if there is a countable family $\{A_n:n\in \mathbb{N}\}$ of closed nowhere dense subsets of $Y$ absorbing all compact subsets of $Y$. In this note we show that the space $C_p(X)$ of continuous re
Externí odkaz:
http://arxiv.org/abs/2407.18618
Autor:
Issaka, Faical Yacine, Özkoç, Murad
The main purpose of this paper is to introduce and study minimal and maximal ideals defined on ideal topological spaces. Also, we define and investigate the concepts of ideal quotient and annihilator of any subfamily of $2^X$, where $2^X$ is the powe
Externí odkaz:
http://arxiv.org/abs/2407.17612
Autor:
Agarwal, Yogesh, Jindal, Varun
For a metric space $(X,d)$, Beer, Naimpally, and Rodriguez-Lopez in ([17]) proposed a unified approach to explore set convergences via uniform convergence of distance functionals on members of an arbitrary family $\mathcal{S}$ of subsets of $X$. The
Externí odkaz:
http://arxiv.org/abs/2407.16408
Autor:
Peng, Dekui, Xiao, Zhiqiang
Let $G$ be a group and $\sigma, \tau$ be topological group topologies on $G$. We say that $\sigma$ is a successor of $\tau$ if $\sigma$ is strictly finer than $\tau$ and there is not a group topology properly between them. In this note, we explore th
Externí odkaz:
http://arxiv.org/abs/2407.14323
Autor:
Jauhari, Ekansh
We develop the theory of the intertwining distributional versions of the LS-category and the sequential topological complexities of a space $X$, denoted by $\mathsf{icat}(X)$ and $\mathsf{iTC}_m(X)$, respectively. We prove that they satisfy most of t
Externí odkaz:
http://arxiv.org/abs/2406.12265
Autor:
Agarwal, Yogesh, Jindal, Varun
This paper examines the equivalence between various set convergences, as studied in [7, 13, 22], induced by an arbitrary bornology $\mathcal{S}$ on a metric space $(X,d)$. Specifically, it focuses on the upper parts of the following set convergences:
Externí odkaz:
http://arxiv.org/abs/2405.07705
Autor:
Richmond, Tom, Wajch, Eliza
A (generalized) topological space is called an iso-dense space if the set of all its isolated points is dense in the space. The main aim of the article is to show in $\mathbf{ZF}$ a new characterization of iso-dense spaces in terms of special quasior
Externí odkaz:
http://arxiv.org/abs/2404.06623
Autor:
Chornenka, Adriana, Gutik, Oleg
Publikováno v:
Visnyk of the Lviv Univ. Series Mech. Math. 2023. Vol. 95. P. 46--56
We construct two non-discrete inverse semigroup $T_1$-topologies and a compact inverse shift-continuous $T_1$-topology on the bicyclic monoid ${\mathscr{C}}(p,q)$. Also we give conditions on a $T_1$-topology $\tau$ on ${\mathscr{C}}(p,q)$ to be discr
Externí odkaz:
http://arxiv.org/abs/2403.05836