Examples of 'groupoid' in a sentence
Meaning of "groupoid"
Groupoid is an adjective used in mathematics to describe a particular mathematical structure that is similar to a group but with a more relaxed set of conditions
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- A magma: a set with a total binary operation.
- A set with a partial binary operation that is associative and has identities and inverses.
How to use "groupoid" in a sentence
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groupoid
A groupoid is a category in which every morphism is an isomorphism.
We make use of the groupoid scheme formalism.
A groupoid is a small category where every morphism is an isomorphism.
This leads to the notion of an internal groupoid in a category.
A magma or groupoid is an algebraic structure that generalizes a group.
General linear groupoid.
Thus any groupoid is equivalent to a multiset of unrelated groups.
This leads to the idea of using multiple groupoid objects in homotopy theory.
A subgroupoid is a subcategory that is itself a groupoid.
We also study the notion of binding groupoid from the point of view of universes.
By a groupoid we mean simply a small category in which every morphism is an isomorphism.
As an example consider the Lie groupoid cohomology.
Monodromy groupoid and foliations.
Lie algebroid associated to a Lie groupoid.
An associative groupoid is called a semigroup.
See also
It is well known that the infinitesimal version of a Lie groupoid is a Lie algebroid.
Then we can form a groupoid representing this equivalence relation as follows.
The third chapter of my thesis studies the space of orbits of a proper Lie groupoid.
The fundamental groupoid captures information about both the connectedness and homotopy type of the space.
Using the algebraic definition, such a groupoid is literally just a group.
A groupoid G is a small category in which every morphism is an isomorphism.
The advantages of regarding an equivalence relation as a special case of a groupoid include,.
In algebraic topology, the fundamental groupoid of a topological space is a generalization of the fundamental group.
Abstract, In this thesis, we propose a definition for measured quantum groupoid.
Let Set * denote the groupoid of sets and bijections.
In other words, a differentiable stack is a stack that can be represented by a Lie groupoid.
Abstract, The etale groupoid are the central subject of this thesis.
Another important source of examples are the simplicial sets associated to a small groupoid G { \ displaystyle { \ mathcal { G.
Any Lie group gives a Lie groupoid with one object, and conversely.
A groupoid is a small category in which every morphism is an isomorphism, i.e. invertible.
Likewise, associated with any Lie groupoid is a Lie algebroid.
A groupoid morphism is simply a functor between two ( category-theoretic ) groupoids.
Prehistory, the groupoid model.
A double groupoid D is a higher-dimensional groupoid involving a relationship for both ' horizontal ' and ' vertical ' groupoid structures.
We then introduce twisted groupoid KRtheory by using the powerful machineries of Kasparov 's " real " KKtheory.
