Noetherian Topological Space - Relation To Compactness

Relation To Compactness

The Noetherian condition can be seen as a strong compactness condition:

  • Every Noetherian topological space is compact.
  • A topological space is Noetherian if and only if every subspace of is compact. (i.e. is hereditarily compact).

Read more about this topic:  Noetherian Topological Space

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