functor meaning in Hindi

Examples

1. A functor is an operation on spaces and functions between them.
2. This functor is studied and extended in topological K-theory.
3. That is, it is left adjoint to the forgetful functor.
4. Any functor which is part of an equivalence is essentially surjective.
5. In this sense, the diagonal functor acts trivially on arrows.
6. We then say that this functor is filtration by representable functors.
7. Similar remarks apply to the colimit functor ( which is covariant ).
8. The functor which maps a ring to its underlying additive abelian group.
9. The fundamental group functor takes products and coproducts to coproducts.
10. Mathematicians do not generally need the full adjoint functor concept.