Topological Space - Topological Spaces With Order Structure

Topological Spaces With Order Structure

  • Spectral. A space is spectral if and only if it is the prime spectrum of a ring (Hochster theorem).
  • Specialization preorder. In a space the specialization (or canonical) preorder is defined by x ≤ y if and only if cl{x} ⊆ cl{y}.

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