Quotientruimten
Quotientruimten, also known as quotient spaces or factor spaces, are fundamental concepts in abstract algebra and topology. They are formed by taking a set or a space and identifying certain elements together, essentially "collapsing" them into single points.
The construction of a quotient space begins with an existing set, let's call it X, and an
In the context of group theory, a particularly important type of quotient space is a quotient group.
Quotient spaces are also crucial in topology. If X is a topological space and R is an