The ANTI-order and the fixed point property for caccc posets
type: Item
instance of: scholarly article
title: The ANTI-order and the fixed point property for caccc posets
zbMATH Open document ID: 0897.06006
DOI: 10.1016/S0012-365X(96)00141-0
published in: Discrete Mathematics
publication date: 1998-01-26T00:00:00Z
review text: The paper is devoted to the investigation of the fixed point property (fpp) of chain-complete and conditionally antichain-complete (caccc) posets. The authors show that the question whether a connected caccc poset \(P\) has the fpp can be transferred to the investigation of the same question for some subsets of \(P\) constructed by an ANTI-perfect sequence of \(P\) (especially to the ANTI-core of \(P)\).
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 1110020
zbMATH Keywords: retract
zbMATH Keywords: ANTI-order
zbMATH Keywords: fixed point property
zbMATH Keywords: chain-complete
zbMATH Keywords: conditionally antichain-complete
zbMATH Keywords: caccc poset
zbMATH Keywords: ANTI-perfect sequence
zbMATH Keywords: ANTI-core
author: Boyu Li
author: Eric C. Milner
reviewed by: Jiří Rachůnek
MaRDI profile type: Publication
cites work: A Theorem on Partially Ordered Sets, With Applications to Fixed Point Theorems
cites work: The ANTI-order for caccc posets. I
cites work: The ANTI-order for caccc posets. II
cites work: Retractability and the fixed point property for products
cites work: Fixed point property for 11-element sets
full work available at URL: s0012-365x(96)00141-0
OpenAlex ID: W2134735909
Recommended article: The ANTI-order for caccc posets. II
Recommended article: The ANTI-order for caccc posets. I
Recommended article: Isomorphic ANTI-cores of caccc posets
Recommended article: Isomorphic ANTI-cores of caccc posets -- an improvement
Recommended article: A characterisation of posets that are nearly antichains
Recommended article: THE FIXED POINT PROPERTY FOR SUMS OF POSETS
Recommended article: Q5690098
Recommended article: Q3640507
Recommended article: Posets with the maximal antichain property
Recommended article: Q4248071
description: scientific article; zbMATH DE number 1110020