Definition:Lindelöf Space

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Definition

A topological space $T = \left({S, \tau}\right)$ is a Lindelöf space if and only if every open cover of $S$ has a countable subcover.


Also see

Some sources classify this as a countability property.

Other sources treat it as a compactness property.

  • Results about Lindelöf spaces can be found here.


Source of Name

This entry was named for Ernst Leonard Lindelöf.


Sources