Lindelöf theorem

If a topological spaceMathworldPlanetmath (X,τ) satisfies the second axiom of countability, and if A is any subset of X, then any open cover for A has a countable subcover.

In particular, we have that (X,τ) is a Lindelöf space (

Title Lindelöf theorem
Canonical name LindelofTheorem
Date of creation 2014-11-06 13:45:28
Last modified on 2014-11-06 13:45:28
Owner drini (3)
Last modified by pahio (2872)
Numerical id 7
Author drini (2872)
Entry type Theorem
Classification msc 54D99
Related topic SecondCountable
Related topic Lindelof