Changes

'''Topology''' is a branch of advanced [[mathematics]] devoted to spatial relationships.  It can also be described as the manipulation and [[mapping]] of sets.  Traditionally the field was divided into the fields of [[continuous topology]] and [[geometric topology]].  Now, however, the subject of topology is divided into:

'''Topology''' is a branch of advanced [[mathematics]] devoted to spatial relationships.  It can also be described as the manipulation and [[mapping]] of sets.  Traditionally the field was divided into the fields of continuous topology and geometric topology.  Now, however, the subject of topology is divided into:

*[[algebraic topology]]

*[[algebraic topology]]

*[[point-set topology]]

*point-set topology

Topology also has a specific mathematical definition as a collection of [[open set]]s in a [[topological space]]. The open sets can be manipulated, forming the [[basis]] of the topology. The opposite of open sets are [[closed set]]s. Topology may also be defined in terms of closed sets, but this yields an [[equivalence relation|equivalent]] definition.

Topology also has a specific mathematical definition as a collection of [[open set]]s in a [[topological space]]. The open sets can be manipulated, forming the [[basis]] of the topology. The opposite of open sets are [[closed set]]s. Topology may also be defined in terms of closed sets, but this yields an [[equivalence relation|equivalent]] definition.