How do you use Groupoids in a sentence? See 10+ example sentences showing how this word appears in different contexts, plus the exact meaning.
Groupoids meaning
plural of groupoid
Using Groupoids
- The main meaning on this page is: plural of groupoid
- In the example corpus, groupoids often appears in combinations such as: of groupoids, groupoids are, groupoids with.
Context around Groupoids
- Average sentence length in these examples: 16 words
- Position in the sentence: 6 start, 3 middle, 4 end
- Sentence types: 13 statements, 0 questions, 0 exclamations
Corpus analysis for Groupoids
- In this selection, "groupoids" usually appears near the start of the sentence. The average example has 16 words, and this corpus slice is mostly made up of statements.
- Around the word, fundamental, galois and arise stand out and add context to how "groupoids" is used.
- Recognizable usage signals include category of groupoids a subgroupoid and classification of groupoids with one. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "groupoids" sits close to words such as aanand, abcd and abdurrahman, which helps place it inside the broader word index.
Example types with groupoids
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Groupoids Another generalization is for groupoids. (6 words)
Groupoids are introduced in the context of their topological application. (10 words)
Shows how generalisations of Galois theory lead to Galois groupoids. (10 words)
In certain situations (such as descent theorems for fundamental groups à la van Kampen) it is much more elegant, even indispensable for understanding something, to work with fundamental groupoids with respect to a suitable packet of base points,. (38 words)
Thus when groupoids arise in terms of other structures, as in the above examples, it can be helpful to maintain the full groupoid. (23 words)
As a more illuminating example, the classification of groupoids with one endomorphism does not reduce to purely group theoretic considerations. (20 words)
Example sentences (13)
Groupoids Another generalization is for groupoids.
A fibration is called a covering morphism or covering of groupoids if further such an is unique.
As a more illuminating example, the classification of groupoids with one endomorphism does not reduce to purely group theoretic considerations.
Category of groupoids A subgroupoid is a subcategory that is itself a groupoid.
Fibrations, Coverings Particular kinds of morphisms of groupoids are of interest.
Groupoids are introduced in the context of their topological application.
In certain situations (such as descent theorems for fundamental groups à la van Kampen) it is much more elegant, even indispensable for understanding something, to work with fundamental groupoids with respect to a suitable packet of base points,.
Reviews the history of groupoids up to 1987, starting with the work of Brandt on quadratic forms.
Shows how generalisations of Galois theory lead to Galois groupoids.
Substantial introduction to category theory with special emphasis on groupoids.
The covering morphisms of groupoids are especially useful because they can be used to model covering maps of spaces.
This action groupoid comes with a morphism which is a covering morphism of groupoids.
Thus when groupoids arise in terms of other structures, as in the above examples, it can be helpful to maintain the full groupoid.
Common combinations with groupoids
These word pairs occur most frequently in English texts:
- of groupoids 7×
- groupoids are 3×
- groupoids with 2×