Results 41 to 50 of about 294 (153)

Abstract Theorems on Exchange of Limits and Preservation of (Semi)continuity of Functions and Measures in the Filter Convergence Setting

Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016
We give necessary and sufficient conditions for exchange of limits of double‐indexed families, taking values in sets endowed with an abstract structure of convergence, and for preservation of continuity or semicontinuity of the limit family, with respect to filter convergence.
Antonio Boccuto, Xenofon Dimitriou, Ioan Rasa   +2 more
wiley   +1 more source

A New Approach to the Fuzzification of Convex Structures

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
A new approach to the fuzzification of convex structures is introduced. It is also called an M‐fuzzifying convex structure. In the definition of M‐fuzzifying convex structure, each subset can be regarded as a convex set to some degree. An M‐fuzzifying convex structure can be characterized by means of its M‐fuzzifying closure operator.
Fu-Gui Shi, Zhen-Yu Xiu, Jin Liang
wiley   +1 more source

Small inductive dimension and Alexandroff topological spaces

Topology and its Applications, 2014
The authors study \(T_0\)-spaces that are Alexandroff, the latter meaning that every point, \(x\), has a minimal open neighbourhood, \(U_x\). Such spaces have a natural partial order, the specialization order, given by \(x\leq y\) iff \(x\in\overline{\{y\}}\) or, equivalently, \(y\in U_x\).
Georgiou, Dimitris N., Megaritis, Athanasios C., Moshokoa, Seithuti P.   +2 more
openaire   +2 more sources

Structural Properties of Soft Biposets With Generalizations of Submaximal and Door Posets

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Soft biposet presented in this work is a new generalization of the notion of poset to soft set theory. This generalization not only equips the universal set with a partial order but also introduces another partial order on the set of parameters. Moreover, we extend the notions of submaximal and door posets to soft biposets.
Abdelwaheb Mhemdi, Smritijit Sen
wiley   +1 more source

On mc‐hop Connectedness in the Monophonic c‐topological Spaces: Applications on Some Networks in the Human Optical System

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce the concept of mc‐vertices in simple graphs and use monophonic paths to define a new class of vertex topologies, called monophonic c‐topologies. We investigate fundamental properties of these spaces, including openness‐minimizing behavior, compactness, and various forms of connectedness, and we characterize graphs that ...
Faten H. Damag, Amin Saif, Mohammed Alsharafi, Yusuf Zeren, Suliman Dawood, Smritijit Sen   +5 more
wiley   +1 more source

Study of a Forwarding Chain in the Category of Topological Spaces between T0 and T2 with respect to One Point Compactification Operator

Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014
In the following text, we want to study the behavior of one point compactification operator in the chain Ξ := {Metrizable, Normal, T2, KC, SC, US, T1, TD, TUD, T0, Top} of subcategories of category of topological spaces, Top (where we denote the subcategory of Top, containing all topological spaces with property P , simply by P).
Fatemah Ayatollah Zadeh Shirazi, Meysam Miralaei, Fariba Zeinal Zadeh Farhadi, Qiaozhen Ma, Weiming Wang   +4 more
wiley   +1 more source

On Shehtman's two problems

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We provide partial solutions to two problems posed by Shehtman concerning the modal logic of the Čech–Stone compactification of an ordinal space. We use the Continuum Hypothesis to give a finite axiomatization of the modal logic of β(ω2)$\beta (\omega ^2)$, thus resolving Shehtman's first problem for n=2$n=2$. We also characterize modal logics
Guram Bezhanishvili, Nick Bezhanishvili, Joel Lucero‐Bryan, Jan van Mill   +3 more
wiley   +1 more source

On the Cardinality of the T0‐Topologies on a Finite Set

International Journal of Combinatorics, Volume 2014, Issue 1, 2014., 2014
Let T0(n, k) be the number of all labeled T0‐topologies having k open sets that we can define on n points, and let t0(n, k) be the number of those which are nonhomeomorphic. In this paper, we compute these numbers for k ≥ 5 · 2n−4 and arbitrary n ≥ 4.
Messaoud Kolli, Laszlo A. Szekely
wiley   +1 more source

Functional Alexandroff spaces

, 2021
ilustraciones, gráficasEn este trabajo se realiza un estudio de las propiedades que tienen los espacios funcionales de Alexandroff y se presenta una forma de caracterizarlos a través de su preorden de especialización.
Mesa Bueno, Julian David
core  

The Mumford conjecture (after Bianchi)

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley   +1 more source