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# topology

[ t*uh*-**pol**-*uh*-jee ]

## noun

*Mathematics.*

*plural***to·pol·o·gies**- the study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching.
- Also called
**point set to·pol·o·gy**. the study of limits in sets considered as collections of points. - a collection of open sets making a given set a topological space.

topology

/ ˌtɒpəˈlɒdʒɪk; təˈpɒlədʒɪ /

## noun

- the branch of mathematics concerned with generalization of the concepts of continuity, limit, etc
- a branch of geometry describing the properties of a figure that are unaffected by continuous distortion, such as stretching or knotting Former nameanalysis situs
- maths a family of subsets of a given set
*S,*such that*S*is a topological space - the arrangement and interlinking of computers in a computer network
- the study of the topography of a given place, esp as far as it reflects its history
- the anatomy of any specific bodily area, structure, or part

topology

/ tə-pŏl**′**ə-jē /

- The mathematical study of the geometric properties that are not normally affected by changes in the size or shape of geometric figures. In topology, a donut and a coffee cup with a handle are equivalent shapes, because each has a single hole.

## Derived Forms

**topologic**, adjective**ˌtopoˈlogically**, adverb**toˈpologist**, noun

## Other Words From

**top·o·log·ic**[top-, uh, -, loj, -ik],**top·o·log·i·cal**adjective**top·o·log·i·cal·ly**adverb**to·pol·o·gist**noun

## Word History and Origins

Origin of topology^{1}

## Example Sentences

It is called “topological” because its understanding and analysis requires topology, the branch of pure math that studies how shapes change when stretched, bent or twisted.

Alexander won first place in the mathematics category at this year’s International Science and Engineering Fair, and has long had an interest in topology — which just might have been related to the puzzle.

Alexander has long had an interest in topology, which just might be related to his submitted puzzle.

Alexander won first place in the mathematics category at this year’s International Science and Engineering Fair for his work at the intersection of topology and medicine.

At first, topology can seem like an unusually imprecise branch of mathematics.

“Fade is a function of geography and topology,” the graybeard said quietly.

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