Topology of pointwise convergence: Difference between revisions
(New page: {{function space topology}} ==Definition== Suppose <math>X</math> and <math>Y</math> are topological spaces. Let <math>C(X,Y)</math> denote the space of continuous maps from <mat...) |
m (1 revision) |
(No difference)
| |
Revision as of 19:59, 11 May 2008
This article defines a function space topology i.e. a topology on the collection of continuous maps between two topological spaces
Definition
Suppose and are topological spaces. Let denote the space of continuous maps from to . The topology of pointwise convergence on is a topology such that convergence of a sequence of elements in the topology is equivalent to their pointwise convergence as functions.
Fill this in later