The Problem of Fixed Points in Ordered Sets

DOI10.1016/S0167-5060(08)70890-2zbMath0448.06001OpenAlexW971863640MaRDI QIDQ3893968

Ivan Rival

Publication date: 1980

Published in: Combinatorics 79 Part I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-5060(08)70890-2

zbMATH Keywords

fixed point propertyordered setsorder-preserving map

Mathematics Subject Classification ID

Partial orders, general (06A06) Graph theory (05C99) Ordered structures (06F99) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items

A retract characterization of posets with the fixed-point property ⋮ From finite posets to chain complete posets having no infinite antichain ⋮ Examples of powers of ordered sets with the fixed point property ⋮ Degree theory on finite lattices: discretizations of dynamical systems^* ⋮ Fixed point structures on a set-mapping pair and Cartesian product ⋮ Minimal automorphic superpositions of crowns ⋮ Sets with structure, mappings and fixed point property: fixed point structures ⋮ On constantive simple and order-primal algebras ⋮ Cores, cutsets and the fixed point property ⋮ A fixed point theorem for multifunctions and an application ⋮ Obituary: Ivan Rival ⋮ Algorithms for the fixed point property ⋮ Retractability and the fixed point property for products ⋮ Multifunctions and the fixed point property for products of ordered sets ⋮ Ordonnés escamotables et points fixes. (Dismantlable orders and fixed points)