Topology

Quick meaning: Topology is a noun meaning (medicine) The anatomical structure of part of the body.

Meaning

(medicine) The anatomical structure of part of the body.

More Meanings

1. (computing) The arrangement of nodes in a communications network.
2. (topography) The topographical study of geographic locations or given places in relation to their history.
3. (topology) Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
4. (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
5. (mathematics, uncountable) The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
6. (dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

Example Sentences

The subsets of a set X which constitute a topology are called the open sets of X.

A set X equipped with a topology #92;tau is called a topological space and denoted (X,#92;tau).

1974 [Crane, Russak & Co.], H. Graham Flegg, From Geometry to Topology, 2001, Dover, page v, Many university courses in topology plunge immediately into a formalized and entirely abstract presentation of topological concepts.

1970 [Addison-Wesley], Stephen Willard, General Topology, 2012, Dover, page v, This book is designed to develop the fundamental concepts of general topology which are the basic tools of working mathematicians in a variety of fields.

Word Forms

• topologies

Related Words

Related dictionary entries include topological, layout, typology, structure, pattern, design.

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