Topology

English

Etymology

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Pronunciation

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Noun

1. Template:Lb 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.

2. Template:Lb 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.

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3. Template:Lb The anatomical structure of part of the body.
4. Template:Lb The arrangement of nodes in a communications network.
5. Template:Lb The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
6. Template:Lb The topographical study of geographic locations or given places in relation to their history.
7. Template:Lb The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

Synonyms

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Hypernyms

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Meronyms

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Holonyms

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See also

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• Appendix:Glossary of topology

Further reading

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