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groupoid

American  
[groo-poid] / ˈgru pɔɪd /

noun

Mathematics.
  1. an algebraic system closed under a binary operation.


Etymology

Origin of groupoid

First recorded in 1940–45; group + -oid

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

In contrast, in the fundamental groupoid of the disk, there is only one path up to homotopy between any pair of points.

From Scientific American • Sep. 14, 2021

The fundamental groupoid is not a complete invariant, however.

From Scientific American • Sep. 14, 2021

The big problem with the fundamental groupoid is that points and paths do not detect the higher-dimensional structure of a space, because the point and interval are themselves zero- and one-dimensional, respectively.

From Scientific American • Sep. 14, 2021

The basic thing he discovered was a “groupoid,” and a groupoid is what is used in category theory nowadays.

From Scientific American • Nov. 5, 2013

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