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 algebraic geometry and commutative algebra, the Zariski topology is a topology on algebraic varieties, introduced primarily by Oscar Zariski and later...
- 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 topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points which can be approached both from S and...
- of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology. The...
- In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point...
- a natural topology called the product topology. This topology differs from another, perhaps more obvious, topology called the box topology, which can...
- 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 ,...
- In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators,...
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