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Isotone relations and the fixed point property for posets

✍ Scribed by James W Walker

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
659 KB
Volume
48
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis

A strengthened form of the fixed point property for posets is presented, in which isotone functions are replaced by more general isotone relations. For finite posets, this 'relational fixed point property' turns out to be equivalent to dismantlability. But an example shows that not every infinite poset with the relational fixed point property is dismantlable. Applications to quotients and direct products are given.

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