groupoid वाक्य
उदाहरण वाक्य
मोबाइल
- In analogy, an action of a groupoid is a functor from the groupoid to the category of sets or to some other category.
- The interpretation of this theorem as a calculational tool for " fundamental groups " needs some development of ` combinatorial groupoid theory',.
- The smallest crystallographic hyperplane arrangement, Weyl groupoid, generalized root system, which is not of ordinary Lie type, is as follows.
- :A groupoid is an analog of a group in category theory : it is a small category where every morphism has an inverse.
- Thus when groupoids arise in terms of other structures, as in the above examples, it can be helpful to maintain the full groupoid.
- This groupoid plays a role in the theory of groupoids analogous to that of the group of integers in the theory of groups ".
- If " is instead a partial operation, then is called a "'partial magma "'or more often a partial groupoid.
- One then considers the fibred category which assigns to any space " B " the groupoid of families over " B ".
- A partial groupoid ( M, \ circ ) is called a "'partial semigroup "'if the following associative law holds:
- The corresponding moduli stack of smooth formal groups is a quotient of this space by a canonical action of the infinite-dimensional groupoid of coordinate changes.
- It is also true that the category of covering morphisms of a given groupoid B is equivalent to the category of actions of the groupoid B on sets.
- It is also true that the category of covering morphisms of a given groupoid B is equivalent to the category of actions of the groupoid B on sets.
- The groupoid \ mathcal I also allows for groupoids a notion of homotopy : it is a " unitinterval object " in the category of groupoids.
- The symmetries of the fifteen puzzle form a groupoid ( not a group, as not all moves can be composed ); this groupoid acts on configurations.
- The symmetries of the fifteen puzzle form a groupoid ( not a group, as not all moves can be composed ); this groupoid acts on configurations.
- This leads to the idea of modding out the gauge group to obtain the gauge groupoid as the closest description of the gauge connection in quantum field theory.
- The benefit in defining the fundamental groupoid of a graph of groups, as shown by, is that it is defined independently of base point or tree.
- Together with Martin Hofmann he received the 2014 LICS Test-of-Time Award for the paper " The groupoid model refutes uniqueness of identity proofs ".
- In category-theoretic terms, each connected component of a groupoid is isomorphic ) to a groupoid with a single object, that is, a single group.
- In category-theoretic terms, each connected component of a groupoid is isomorphic ) to a groupoid with a single object, that is, a single group.
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