Posets admitting a unique order-compatible topology

DOI10.1016/0012-365X(82)90019-XzbMath0498.06004OpenAlexW2070248613MaRDI QIDQ1171078

David E. Dobbs

Publication date: 1982

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(82)90019-x

zbMATH Keywords

topological spacesminimal elementsordered setscompatible topologyunions of chainswell-founded sets

Mathematics Subject Classification ID

Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological lattices (06B30)

Related Items (4)

Distinguished classes of ideal spaces and their topological properties ⋮ Spectral partially ordered sets ⋮ A spectral construction of a treed domain that is not going-down. ⋮ On chain morphisms of commutative rings

Cites Work

• On certain distinguished spectral sets
• The spectrum of a ring as a partially ordered set
• Proving termination with multiset orderings
• The Ordering of Spec R
• Prime Ideal Structure in Commutative Rings
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