Theorem T000587

Lindelöf ⇒ Meta-Lindelöf

Evident from the definitions, as a countable cover is point-countable.

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• Converse
• References

The converse ( Meta-Lindelöf ⇒ Lindelöf ) does not hold, as witnessed by these counterexamples:

Id	Name	Lindelöf	Meta-Lindelöf
S3	Discrete Topology on the Real Numbers Uncountable Discrete Topology