Ordered sets: retracts and connections

DOI10.1016/0022-4049(82)90074-3zbMath0474.06004OpenAlexW1972254849MaRDI QIDQ1159221

Henry Crapo

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90074-3

zbMATH Keywords

Galois connectionsproblemsconnection between ordered sets

Mathematics Subject Classification ID

Partial orders, general (06A06) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

Retraction closure property, Fixed point structures on a set-mapping pair and Cartesian product, Order-preserving self-maps of complete lattices, Connections, Sets with structure, mappings and fixed point property: fixed point structures, Increasing and decreasing operators on complete lattices, All retraction operators on a complete lattice form a complete lattice, All retraction operators on a lattice need not form a lattice, Groupoids, idempotents and pointwise inverses in relational categories

Cites Work

• Categorial characterization of the MacNeille completion
• Möbius inversion in lattices
• Remarks on Galois lattices
• Retracts and the Fixed Point Problem for Finite Partially Ordered Sets
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• Partially Ordered Sets
• Partially Ordered Sets
• Galois Connexions
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