In topology and related areas of mathematics, the quotient space of a topological space under a given equivalence relation is a new topological space constructed...

In linear algebra, the quotient of a vector space V {\displaystyle V} by a subspace N {\displaystyle N} is a vector space obtained by "collapsing" N {\displaystyle...

as spaces. In particular: Quotient space (topology), in case of topological spaces Quotient space (linear algebra), in case of vector spaces Quotient space...

In topology and related branches of mathematics, a Hausdorff space (/ˈhaʊsdɔːrf/ HOWSS-dorf, /ˈhaʊzdɔːrf/ HOWZ-dorf), T2 space or separated space, is a...

Quotient object Quotient of a formal language, also left and right quotient Quotient ring Quotient set Quotient space (topology) Quotient type Quotition...

In topology and related areas of mathematics, a product space is the Cartesian product of a family of topological spaces equipped with a natural topology...

specifically, a topological space is a set whose elements are called points, along with an additional structure called a topology, which can be defined as...

In topology and related branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every...

topology on Y for which f is continuous. A common example of a quotient topology is when an equivalence relation is defined on the topological space X...

In topology, a second-countable space, also called a completely separable space, is a topological space whose topology has a countable base. More explicitly...