Results 51 to 60 of about 365 (176)

The Jordan curve theorem in the Khalimsky plane

Applied General Topology, 2008
The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact gets some specific properties to Z2, equipped with the Khalimsky topology.
Ezzeddine Bouassida
doaj   +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

Generalized α‐Attractor Models from Elementary Hyperbolic Surfaces

Advances in Mathematical Physics, Volume 2018, Issue 1, 2018., 2018
We consider generalized α‐attractor models whose scalar potentials are globally well‐behaved and whose scalar manifolds are elementary hyperbolic surfaces. Beyond the Poincaré disk D, such surfaces include the hyperbolic punctured disk D⁎ and the hyperbolic annuli A(R) of modulus μ = 2log⁡R > 0. For each elementary surface, we discuss its decomposition
Elena Mirela Babalic, Calin Iuliu Lazaroiu, Luigi C. Berselli   +2 more
wiley   +1 more source

Pseudo perfectly continuous functions and closedness/compactness of their function spaces

Applied General Topology, 2013
A new class of functions called 'pseudo perfectly continuous' functions is introduced. Their place in the hierarchy of variants of continuity which already exist in the literature is highlighted.
J.K. Kohli, D. Singh, Jeetendra Aggarwal, Manoj Rana   +3 more
doaj   +1 more source

PRE-ALEXANDROFF SPACE

University of Thi-Qar Journal of Science, 2013
In this paper we introduce a new definition of the topological space weaker of Alexandroff space, namely pre-Alexandroff space. These spaces are which arbitrary intersection of an open set is a pre-open set. In addition to give a new definition of minimal pre-open sets and investigate about some of its properties, also we get some theorems and result ...
openaire   +2 more sources

On Various Modes of Convergence and Notions of Exhaustiveness With Korovkin‐Type Theorems

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce refined notions related to convergence and exhaustiveness for sequences of functions defined between metric spaces. These include rigid uniform alpha convergence as a strengthened variant of alpha convergence, along with uniform sequential exhaustiveness, rigid uniform exhaustiveness, Cauchy exhaustiveness, and rigid Cauchy ...
Alper Erdem, Tuncay Tunç, Smritijit Sen
wiley   +1 more source

Orlicz Mean Dual Affine Quermassintegrals

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz‐Brunn‐Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual affine quermassintegrals and call it the Orlicz mean dual affine quermassintegral.
Chang-Jian Zhao, Wing-Sum Cheung, Mitsuru Sugimoto   +2 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

A Point-Free Approach to Canonical Extensions of Boolean Algebras and Bounded Archimedean $$\ell$$-Algebras [PDF]

, 2023
Recently W. Holliday gave a choice-free construction of a canonical extension of a boolean algebra B as the boolean algebra of regular open subsets of the Alexandroff topology on the poset of proper filters of B.
G. Bezhanishvili, Morandi P., P. Morandi, Bezhanishvili G., Carai L., L. Carai   +5 more
core   +1 more source

The generalized homotopy axiom and its consistency with Alexandroff-Čech cohomology theory.

Pracì Mìžnarodnogo Geometričnogo Centru
Let T be a connected compact metric space, r,s ∈ T be two points, and X be a locally compact paracompact space. We prove that the mappings φr, φs: X → X × T, defined by φt(x) = (x,t) for t=r, s ∈ T, induce the same homomorphisms of Alexandroff-Čech ...
Umed Karimov
doaj   +1 more source