topology
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.
Origin of topology
1- Rarely a·nal·y·sis si·tus [uh-nal-uh-sis sahy-tuhs, see-] /əˈnæl ə sɪs ˈsaɪ təs, ˈsi-/ (for defs. 1, 2) .
Other words from topology
- top·o·log·ic [top-uh-loj-ik], /ˌtɒp əˈlɒdʒ ɪk/, top·o·log·i·cal, adjective
- top·o·log·i·cal·ly, adverb
- to·pol·o·gist, noun
Words Nearby topology
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2024
How to use topology in a sentence
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.
Can You Decipher The Secret Message? | Zach Wissner-Gross (riddlercolumn@gmail.com) | June 4, 2021 | FiveThirtyEightAlexander 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.
Can You Decipher The Secret Message? | Zach Wissner-Gross (riddlercolumn@gmail.com) | June 4, 2021 | FiveThirtyEightAt first, topology can seem like an unusually imprecise branch of mathematics.
How Mathematicians Use Homology to Make Sense of Topology | Kelsey Houston-Edwards | May 11, 2021 | Quanta Magazine
“Fade is a function of geography and topology,” the graybeard said quietly.
Someone Comes to Town, Someone Leaves Town | Cory Doctorow
British Dictionary definitions for topology
/ (təˈpɒlədʒɪ) /
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 name: analysis 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
Derived forms of topology
- topologic (ˌtɒpəˈlɒdʒɪk) or topological, adjective
- topologically, adverb
- topologist, noun
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Scientific definitions for 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.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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