More on entangled orders (Q2710609)

Entangled orders were introduced by \textit{R. Bonnet} and \textit{S. Shelah} [Ann. Pure Appl. Log. 28, 1-12 (1985; Zbl 0563.03035)]. In that paper these orders had been used to get narrow Boolean algebras.NEWLINENEWLINENEWLINEHere, the authors study entangled orders and various generalizations. So, they introduce strongly entangled orders and positively entangled orders. Using a forcing construction they show that there can be entangled orders which are not strongly entangled. They give a new construction for entangled orders. They investigate properties of entangled and positively entangled orders.