Results 11 to 20 of about 404,274 (272)
Semi‐supervised classification of fundus images combined with CNN and GCN
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Purpose Diabetic retinopathy (DR) is one of the most serious complications of diabetes, which is a kind of fundus lesion with specific changes. Early diagnosis of DR can effectively reduce the visual damage caused by DR. Due to the variety and different morphology of DR lesions, automatic classification of fundus images in mass screening can ...
Sixu Duan +8 more
wiley +1 more source
Architected Lattices with a Topological Transition
Advanced Engineering Materials, EarlyView., 2023 This article develops topological metamaterials showing multidirectional two‐step deformation under compression by embedding contact‐enabled topological mechanisms into lattice structures. Experiments on 3D‐printed 2D and 3D lattices and finite element simulations are conducted to demonstrate the working principle of the topological metamaterials.
Shivam Agarwal, Lihua Jin
wiley +1 more source
An example of a non-Borel locally-connected finite-dimensional topological group
Karpatsʹkì Matematičnì Publìkacìï, 2017 According to a classical theorem of Gleason and Montgomery, every finite-dimensional locally path-connected topological group is a Lie group. In the paper for every $n\ge 2$ we construct a locally connected subgroup $G\subset{\mathbb R}^{n+1}$ of ...
I.Ya. Banakh, T.O. Banakh, M.I. Vovk
doaj +1 more source
Pθ-Topological Groups in Nonstandard Analysis [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 The aim of this paper is to introduce and study a new class of topological groups called Pθ-topological group. By using some nonstandard techniques, we investigated some properties of Pθ-monads in Pθ-topological group.
Tahir Ismail +2 more
doaj +1 more source
Partially topological group action
Applied General Topology, 2018 The concept of partially topological group was recently introduced in [3]. In this article, we define partially topological group action on partially topological space and we generalize some fundamental results from topological group action theory.
M. A. Al Shumrani
doaj +1 more source
Long Colimits of Topological Groups III: Homeomorphisms of Products and Coproducts
Axioms, 2021 The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in a number of ways, including as a colimit of homeomorphism groups with a given compact support or as a subgroup of the homeomorphism group of its Stone-Čech ...
Rafael Dahmen, Gábor Lukács
doaj +1 more source
Equivariant Movability of Topological Groups [PDF]
Topology and its Applications, 159 (2012), 1761--1766, 2023 The equivariant movability of topological spaces with an action of a given topological group $G$ is considered. In particular, the equivariant movability of topological groups is studied. It is proved that a second countable group $G$ is Lie if and only if it is equivariantly movable.
arxiv +1 more source
Journal of the Egyptian Mathematical Society, 2017 In this paper, we introduce the concept of k̲−partial groups and discuss some of their basic properties. We introduce the category kpg of k̲−partial groups, which is more convenient than the category Sstg of strong semilattices of topological groups [1 ...
A.M. Abd-Allah, A.I. Aggour, A. Fathy
doaj +1 more source
Topological Algebra and its Applications, 2016 The concept of topological group is a simple combination of the concepts of abstract group and topological space. The purpose of this paper is to combine the concepts of topological space and rough groups; called topological rough groups on an ...
Bağırmaz Nurettin +2 more
doaj +1 more source
The fundamental group as a topological group [PDF]
Topology Appl. 160 (2013) 170-188, 2010 This paper is devoted to the study of a natural group topology on the fundamental group which remembers local properties of spaces forgotten by covering space theory and weak homotopy type. It is known that viewing the fundamental group as the quotient of the loop space often fails to result in a topological group; we use free topological groups to ...
arxiv +1 more source