Results 51 to 60 of about 294 (153)
Isomorphisms on Weighed Banach Spaces of Harmonic and Holomorphic Functions
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 For an arbitrary open subset U⊂ℝd or U⊆ℂd and a continuous function v : U→]0, ∞[ we show that the space hv0(U) of weighed harmonic functions is almost isometric to a (closed) subspace of c0, thus extending a theorem due to Bonet and Wolf for spaces of holomorphic functions Hv0(U) on open sets U⊂ℂd.
Enrique Jordá +2 more
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Topologías de Alexandroff: diferentes contextos [PDF]
, 2013 Alexandroff spaces have all the properties of finite spaces and the- refore play an important role in digital topology, image analysis, and computer graphics.
Rubiano O., Gustavo N. +3 more
core
Математичні СтудіїLet $[0,\infty)$ be the set of all non-negative real numbers. The set $\boldsymbol{B}_{[0,\infty)}=[0,\infty)\times [0,\infty)$ with the following binary operation $(a,b)(c,d)=(a+c-\min\{b,c\},b+d-\min\{b,c\})$ is a bisimple inverse semigroup.
O. V. Gutik, M. B. Khylynskyi
doaj +1 more source
El corazón de un espacio de Alexandroff
, 2021 An Alexandroff space is a topological space whose topology is closed under intersections. The core of an Alexandroff space is the minimal model keeping its homotopy.
Solís Santana, Marlem +1 more
core
On local semirings induced by topologies: An algebraic approach to the Collatz conjecture
Applied General TopologyWe present an algebraic approach to the Collatz conjecture by studying the topology τf on ℕ induced by the Collatz function f, where the open sets θ ⊂ ℕ satisfy f-1 ( θ ) ⊂ θ .
Angel Guale, Jorge Vielma
doaj +1 more source
Tangled Closure Algebras [PDF]
Categories and General Algebraic Structures with Applications, 2017 The tangled closure of a collection of subsets of a topological space is the largest subset in which each member of the collection is dense. This operation models a logical `tangle modality' connective, of significance in finite model theory.
Robert Goldblatt, Ian Hodkinson
doaj
Adjacency relations induced by some Alexandroff topologies on $ {\mathbb Z}^n $
AIMS Mathematics, 2022 <abstract><p>Let $ (X, T) $ be an Alexandroff space. We define the adjacency relation $ AR_T $ on $ X $ induced by $ T $ as the irreflexive relation defined for $ x \neq y $ in $ X $ by:</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ (x,y) \in AR_T\,\,{\rm{if \;and\; only\; if}}\,\, x ...
openaire +1 more source
Graphic topology on tournaments
, 2018 Alexandroff spaces are the topological spaces in which the intersection of arbitrary many open sets is open. Let T be an indecomposable tournament. In this paper, first, we associate a trivial topology to T.
Jamel Dammak, Rahma Salem
core +1 more source