Category Theory and Topology
| Description: This quiz covers the fundamental concepts and principles of Category Theory and Topology, including categories, functors, natural transformations, topological spaces, and continuous maps. | |
| Number of Questions: 15 | |
| Created by: Aliensbrain Bot | |
| Tags: category theory topology functors natural transformations topological spaces continuous maps |
In category theory, a functor is a mapping between:
In topology, a topological space is defined as a set X together with:
A continuous map between topological spaces is a function that:
In category theory, a natural transformation between functors is a:
In topology, a compact space is a space that is:
In category theory, an isomorphism is a functor that is:
In topology, a connected space is a space that:
In category theory, a category is a collection of:
In topology, a Hausdorff space is a space in which:
In category theory, a monomorphism is a functor that is:
In topology, a compact space is also known as a:
In category theory, an epimorphism is a functor that is:
In topology, a connected space is also known as a:
In category theory, a category is said to be:
In topology, a topological space is said to be: