Results 61 to 70 of about 383 (157)
AxiomsIn this paper, we introduce and examine the notion of a protected quasi-metric. In particular, we give some of its properties and present several examples of distinguished topological spaces that admit a compatible protected quasi-metric, such as the ...
Salvador Romaguera
doaj +1 more source
Homogeneous ANR-spaces and Alexandroff manifolds
Topology and its Applications, 2014 10 ...
openaire +2 more sources
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
Locally compact spaces of countable core and Alexandroff compactification
, 2007 We introduce a new cardinal invariant, core of a space, defined for any locally compact Hausdorff space X and denoted by cor(X). Locally compact spaces of countable core generalize locally compact σ-compact spaces in a way that is slightly exotic, but ...
Arhangel'skii, A.V.
core +1 more source
Some results and Algorithms on matroids, simplicial complexes and Alexandroff spaces [PDF]
, 2022 In 1950 when JHC Whitehead introduced the idea of elementary collapse of simplicial complexes and the simple homotopy type. In 2012 Barmar and Minian return to the topic and develop the theory of strong collapse of simplicial complexes, which has ...
Nawaf Aldeifi, Sahar
core
SOFT Λβ-CLOSED SETS IN SOFT TOPOLOGICAL SPACES
Journal of New Theory, 2015 − In this paper, we introduce the notions of soft β-kernel of soft sets, S∧β-closed sets andS∧β-open sets in soft topological spaces. The concept of S∧β-sets, as a generalization to the classof soft β-open sets, is defined.
Rodyna Ahmed Hosny +1 more
doaj
Interaction between cellularity of Alexandroff spaces and entropy of generalized shift maps [PDF]
, 2016 summary:In the following text for a discrete finite nonempty set $K$ and a self-map $\varphi : X\to X$ we investigate interaction between different entropies of generalized shift $\mathop{\sigma_\varphi:K^X\to K^X}$, ${(x_\alpha)_{\alpha\in X}\mapsto (x_{
Dolatabad, Sahar Karimzadeh +2 more
core +1 more source
Results about the Alexandroff duplicate space
Applied General Topology, 2016 In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following properties: extremally disconnected, weakly extremally disconnected, quasi-normal, pseudo compact.
Almontashery, Khulod, Kalantan, Lutfi
openaire +4 more sources
, 1999 In this paper we mean by an Alexandroff space a topological space such that every point has a minimal neighborhood. We do not assume that the space is T0. There spaces were first introduced by P.
F. G. Arenas
core
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