particularly in the field of topology, the K-topology, also called Smirnov's deleted sequence topology, is a topology on the set R of real numbers which...

convergence. The weak topology is called topologie faible in French and schwache Topologie in German. Let K {\displaystyle \mathbb {K} } be a topological...

areas of topology, the focus here is on general topology. The following definitions are also fundamental to algebraic topology, differential topology and geometric...

algebra, the Zariski topology is a topology defined on geometric objects called varieties. It is very different from topologies that are commonly used...

In topology and related areas of mathematics, the set of all possible topologies on a given set forms a partially ordered set. This order relation can...

elements are called points, along with an additional structure called a topology, which can be defined as a set of neighbourhoods for each point that satisfy...

The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics....

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants...

the compact-open topology is a topology defined on the set of continuous maps between two topological spaces. The compact-open topology is one of the commonly...

triangulations established a new branch in topology, namely the piecewise-linear-topology (short PL-topology). Its main purpose is topological properties...