Results 51 to 60 of about 5,897,592 (221)

Profinite algebras and affine boundedness

open access: yes, 2016
We prove a characterization of profinite algebras, i.e., topological algebras that are isomorphic to a projective limit of finite discrete algebras. In general profiniteness concerns both the topological and algebraic characteristics of a topological ...
Schneider, Friedrich Martin   +1 more
core   +1 more source

GTI-space : the space of generalized topological indices [PDF]

open access: yes, 2008
A new extension of the generalized topological indices (GTI) approach is carried out torepresent 'simple' and 'composite' topological indices (TIs) in an unified way.
A.R Matamala   +34 more
core   +1 more source

Door spaces on N-topology

open access: yesRatio Mathematica, 2023
In this article, we explore the idea of door space on -topological space. Here, we discuss which door spaces in this space are related with  submaximal. The equivalent conditions shows how it connects a -topological property. Also, we derive various door
Loyala Foresith Spencer J   +1 more
doaj   +1 more source

Topological Signal Processing Over Simplicial Complexes [PDF]

open access: yesIEEE Transactions on Signal Processing, 2019
The goal of this paper is to establish the fundamental tools to analyze signals defined over a topological space, i.e. a set of points along with a set of neighborhood relations.
S. Barbarossa, S. Sardellitti
semanticscholar   +1 more source

On order-bounded subsets of locally solid Riesz spaces

open access: yes, 2015
In a topological Riesz space there are two types of bounded subsets: order bounded subsets and topologically bounded subsets. It is natural to ask (1) whether an order bounded subset is topologically bounded and (2) whether a topologically bounded subset
Hong, Liang
core   +1 more source

Nigh-Open Sets in Topological Space

open access: yesInternational Journal of Analysis and Applications, 2023
In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-
Jamal Oudetallah   +2 more
doaj   +1 more source

Comprehensive search for topological materials using symmetry indicators [PDF]

open access: yesNature, 2018
Over the past decade, topological materials—in which the topology of electron bands in the bulk material leads to robust, unconventional surface states and electromagnetism—have attracted much attention.
F. Tang, H. Po, A. Vishwanath, X. Wan
semanticscholar   +1 more source

On i-topological spaces: generalization of the concept of a topological space via ideals

open access: yesApplied General Topology, 2006
The aim of this paper is to generalize the structure of a topological space, preserving its certain topological properties. The main idea is to consider the union and intersection of sets modulo “small” sets which are defined via ideals.
Irina Zvina
doaj   +1 more source

\(L\)-topological spaces

open access: yesSahand Communications in Mathematical Analysis, 2017
Summary: By substituting the usual notion of open sets in a topological space \(X\) with a suitable collection of maps from \(X\) to a frame \(L\), we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion.
openaire   +2 more sources

Observation of topological valley transport of sound in sonic crystals [PDF]

open access: yesNature Physics, 2016
Valleytronics — exploiting a system’s pseudospin degree of freedom — is being increasingly explored in sonic crystals. Now, valley transport of sound is reported for a macroscopic triangular-lattice array of rod-like scatterers in a 2D air waveguide. The
Jiuyang Lu   +6 more
semanticscholar   +1 more source

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