Automorphisms and isotone self-maps of ordered sets with top and bottom

Automorphisms, isotone self-maps and cyc

Automorphisms, isotone self-maps and cycle-free orders

✍ Wei-Ping Liu; Ivan Rival; Nejib Zaguia 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 318 KB

For cycle-free ordered sets, the ratio IAut(P)l/IEnd(P)] converges to zero as IPI goes to infinity. Although considerable attention has focussed, over the past two decades, on the fixed point property for ordered sets, little is known about the number of all isotone self-maps of an ordered set, or