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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.

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

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

From Scientific American • Nov. 5, 2013