Nonstandard analysis of ordered sets

DOI10.1007/BF01111743zbMath0841.03040MaRDI QIDQ1904386

Keith R. Wicks

Publication date: 1 February 1996

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

completioninterval topologylinearly ordered settranscendentsincomparability relationnonstandard theory of ordered sets

Mathematics Subject Classification ID

Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Complete lattices, completions (06B23) Topological lattices (06B30) Ordered topological structures (06F30) Nonstandard models in mathematics (03H05) Nonstandard topology (54J05)

Cites Work

• Fractals and hyperspaces
• Order-Compatible Topologies on a Partially Ordered Set
• On a Problem of Wolk in Interval Topologies
• Hausdorff Interval Topology on a Partially Ordered Set
• Nonstandard Measure Theory and its Applications
• Separation Axioms for Interval Topologies
• The Interval Topology of a Lattice
• Ideals in Partially Ordered Sets
• Topology in Lattices
• Non-standard analysis
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