topology
Etymology
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Etymology
From Late Latin topologia, from Ancient Greek τόπος + -(o)logy.
Pronunciation Nountopology
- (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).
- 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.
- 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 ↗,
- (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.
- A set X equipped with a topology \tau is called a topological space and denoted (X, \tau).
- The subsets of a set X which constitute a topology are called the open sets of X.
- (medicine) The anatomical structure of part of the body.
- (computing) The arrangement of nodes in a communications network.
- (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
- (topography) The topographical study of geographic locations or given places in relation to their history.
- (dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
- (branch of mathematics) analysis situs (obsolete), geometria situs (obsolete)
- French: topologie
- German: Topologie
- Italian: topologia
- Portuguese: topologia
- Russian: тополо́гия
- Spanish: topología
- Russian: тополо́гия
- French: topologie
- German: Topologie
- Portuguese: topologia
- Russian: тополо́гия
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.003
