In algebra, a linear topology on a left A {\displaystyle A} -module M {\displaystyle M} is a topology on M {\displaystyle M} that is invariant under translations...

mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators, for instance...

orderable or linearly orderable if there exists a total order on its elements such that the order topology induced by that order and the given topology on X coincide...

Network topology is the arrangement of the elements (links, nodes, etc.) of a communication network. Network topology can be used to define or describe...

vector spaces are spaces of functions, or linear operators acting on topological vector spaces, and the topology is often defined so as to capture a particular...

of triangulations established a new branch in topology, namely piecewise linear topology (or PL topology). Its main purpose is to study the topological...

spaces of linear maps between two vector spaces can be endowed with a variety of topologies. Studying space of linear maps and these topologies can give...

functional analysis and related areas of mathematics a dual topology is a locally convex topology on a vector space that is induced by the continuous dual...

basis for this topology. An 𝔞-adic topology is a linear topology (a topology generated by some submodules). With respect to the topology, the module operations...

transfer function rather than their topology. Transfer functions may be linear or nonlinear. Common types of linear filter transfer function are; high-pass...

A bus network is a network topology in which nodes are directly connected to a common half-duplex link called a bus. A host on a bus network is called...

In mathematics, the special linear group SL ⁡ ( n , R ) {\displaystyle \operatorname {SL} (n,R)} of degree n {\displaystyle n} over a commutative ring...

topology making all linear functionals in F {\displaystyle F} continuous. This is known as the weak topology or the initial topology determined by F . {\displaystyle...

Linear continua are particularly important in the field of topology where they can be used to verify whether an ordered set given the order topology is...

functional analysis there are several standard topologies which are given to the algebra B(X) of bounded linear operators on a Banach space X. Let ( T n )...

\}\cup \Gamma } is a topology on X . {\displaystyle X.} Many sets of linear operators in functional analysis are endowed with topologies that are defined...

The circuit topology of a folded linear polymer refers to the arrangement of its intra-molecular contacts. Examples of linear polymers with intra-molecular...

{O}}_{U}} holomorphic functions linear functions piecewise linear functions continuous functions, compact open topology all functions, space of pointwise...

of two network topologies: Linear topology: For example, A-B-C-D-E, A-B-C-D-E & C-M-N-O (branched at C) are daisy chain. Ring topology: there is a loop...

In other words the Mackey topology does not make linear functions continuous which were discontinuous in the default topology. A topological vector space...

corresponding dual vector space (or just dual space for short) consisting of all linear forms on V , {\displaystyle V,} together with the vector space structure...

algebra, the Zariski topology is a topology defined on geometric objects called varieties. It is very different from topologies that are commonly used...

This topology is precisely the weakest topology which makes ‖ ⋅ ‖ {\displaystyle \|\,\cdot \,\|} continuous and which is compatible with the linear structure...

The Sallen–Key topology is an electronic filter topology used to implement second-order active filters that is particularly valued for its simplicity...

In topology, a field of mathematics, the join of two topological spaces A {\displaystyle A} and B {\displaystyle B} , often denoted by A ∗ B {\displaystyle...

to topological vector spaces should match the topology. For example, instead of considering all linear maps (also called functionals) V → W , {\displaystyle...

related areas of mathematics a polar topology, topology of G {\displaystyle {\mathcal {G}}} -convergence or topology of uniform convergence on the sets...

and Gail S. Young (1961). Topology. Corrected reprint, Dover, 1988. ISBN 0-486-65676-4 Rosenstein, Joseph G. (1982). Linear orderings. New York: Academic...

terms of a two-port network. Bridge topology is an important topology with many uses in both linear and non-linear applications, including, amongst many...

Topology optimization is a mathematical method that optimizes material layout within a given design space, for a given set of loads, boundary conditions...