Results 51 to 60 of about 383 (157)
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 +5 more
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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 = 2logR > 0. For each elementary surface, we discuss its decomposition
Elena Mirela Babalic +2 more
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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
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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 +2 more
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, 2010 Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tezin ana amacı genelleştirilmiş ?-Alexandroff topolojik uzayları ve karakterizasyonlarını sunmaktır.
Öğüş, Cahide İrem
core
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 +3 more
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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
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A Characterization of Affine Primal Topological Spaces Induced by Nilpotent Matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we prove that an n × n matrix A is nilpotent if and only if there exists an affine primal topology τ for Rn such that the space Rn,τ is both compact and connected. For τ being an affine primal topology, we mean that τ=U⊂Rn:f−1U⊂U, where f:Rn⟶Rn is a map defined by f(x) = Ax + p, with p∈Rn.
Ebner Pineda +3 more
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Parabolic isometries of the fine curve graph of the torus
Proceedings of the London Mathematical Society, Volume 129, Issue 2, August 2024.Abstract In this article, we finish the classification of actions of torus homeomorphisms on the fine curve graph initiated by Bowden, Hensel, Mann, Militon, and Webb. This is made by proving that if f∈Homeo(T2)$f \in \mathrm{Homeo}(\mathbb {T}^2)$, then f$f$ acts elliptically on C†(T2)$\mathcal {C}^{\dagger }(\mathbb {T}^2)$ if and only if f$f$ has ...
Pierre‐Antoine Guihéneuf +1 more
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