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

- Topology (from the Gr**** words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric...
- 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...
- In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators,...
- natural topology called the product topology. This topology differs from another, perhaps more natural-seeming, topology called the box topology, which...
- 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...
- 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...
- co****st topology may refer to: Initial topology, the most co**** topology in a certain category of topologies Trivial topology, the most co**** topology possible...
- mathematics, an order topology is a specific topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real...
- algebra, the Zariski topology is a topology defined on geometric objects called varieties. It is very different from topologies that are commonly used...