mathematics, a topological module is a module over a topological ring such that scalar multiplication and addition are continuous. A topological vector space...

In mathematics, a topological ring is a ring R {\displaystyle R} that is also a topological space such that both the addition and the multiplication are...

mathematics, a topological abelian group, or TAG, is a topological group that is also an abelian group. That is, a TAG is both a group and a topological space...

In mathematics, topological groups are the combination of groups and topological spaces, i.e. they are groups and topological spaces at the same time...

In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures...

be generalized to topological modules. A subset A {\displaystyle A} of a topological module M {\displaystyle M} over a topological ring R {\displaystyle...

In applied mathematics, topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. Extraction of information...

redirect targets Topological group – Group that is a topological space with continuous group action Topological module Topological ring – ring where...

and related areas of mathematics, a topological property or topological invariant is a property of a topological space that is invariant under homeomorphisms...

redirect targets Topological group – Group that is a topological space with continuous group action Topological module Topological ring – ring where...