topology.
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).
Meaning & usage
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).
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 #92;tau is called a topological space and denoted (X,#92;tau).
The subsets of a set X which constitute a topology are called the open sets of X.
The anatomical structure of part of the body.
The arrangement of nodes in a communications network.
The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
The topographical study of geographic locations or given places in relation to their history.
The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
Where this word comes from
From Late Latin topologia, from By surface analysis, topo- (“place”) + -logy (“study of, a branch of knowledge”).
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.