OAI/GroupTheory/PolycyclicRecognition/Algebra/NoetherianComponents.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Finitely many connected components in a Noetherian space

Each irreducible component lies in one connected component, and every point lies in an irreducible component. The finite irreducible-component cover therefore gives finitely many connected components.

  1. theorem OAI.PolycyclicRecognition.finite_connectedComponents_of_noetherian line 18
  2. theorem OAI.PolycyclicRecognition.isOpen_connectedComponent_of_noetherian line 35