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...
- differential topology is the field dealing with the topological properties and smooth properties of smooth manifolds. In this sense differential topology is distinct...
- 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...
- In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators,...
- 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 category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C that makes the objects of C act like the open sets...
- Look up topology in Wiktionary, the free dictionary. Topology is a branch of mathematics concerned with geometric properties preserved under continuous...
- 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...
- mathematics, pointless topology, also called point-free topology (or pointfree topology) and locale theory, is an approach to topology that avoids mentioning...