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...
- 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...
- natural topology called the product topology. This topology differs from another, perhaps more natural-seeming, topology called the box topology, which...
- In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators,...
- elements are called points, along with an additional structure called a topology, which can be defined as a set of neighbourhoods for each point that satisfy...
- general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It...
- a strong topology is a topology which is stronger than some other "default" topology. This term is used to describe different topologies depending on...
- from that of X called the subspace topology (or the relative topology, or the induced topology, or the trace topology[citation needed]). Given a topological...
- 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...