Definition:Lindelöf Space
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Definition
A topological space $T = \struct {S, \tau}$ 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
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $3$: Compactness: Global Compactness Properties