totally disconnected space
A topological space is called totally disconnected if all connected components of are singletons.
Examples of totally disconnected spaces include:
Every discrete space,
the set of rational numbers endowed with the subspace topology induced by and,
the set of irrational numbers again with the subspace topology.
|Title||totally disconnected space|
|Date of creation||2013-03-22 13:25:31|
|Last modified on||2013-03-22 13:25:31|
|Last modified by||Dr_Absentius (537)|
|Defines||totally disconnected space|