Definition of Topology. Meaning of Topology. Synonyms of Topology

Here you will find one or more explanations in English for the word Topology. Also in the bottom left of the page several parts of wikipedia pages related to the word Topology and, of course, Topology synonyms and on the right images related to the word Topology.

Definition of Topology

Topology
Topology To*pol"o*gy, n. [Gr. ? place + -logy.] The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place. [R.]

Meaning of Topology from wikipedia

- In mathematics, topology (from the Gr**** words τόπος, 'place, location', and λόγος, 'study') is concerned with the properties of a geometric object that...
- Network topology is the arrangement of the elements (links, nodes, etc.) of a communication network. Network topology can be used to define or describe...
- In topology and related areas of mathematics, the set of all possible topologies on a given set forms a partially ordered set. This order relation can...
- In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators,...
- studies topological spaces in their own right is called point-set topology or general topology. Around 1735, Leonhard Euler discovered the formula V − E + F...
- most general continuous functions, and their definition is the basis of topology. A stronger form of continuity is uniform continuity. In order theory,...
- Spacetime topology is the topological structure of spacetime, a topic studied primarily in general relativity. This physical theory models gravitation...
- from that of X called the subspace topology (or the relative topology, or the induced topology, or the trace topology). Given a topological space ( X ,...
- Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants...
- a natural topology called the product topology. This topology differs from another, perhaps more obvious, topology called the box topology, which can...