A microscopic approach to Souslin-tree construction, Part II

In Part I of this series, we presented the microscopic approach to Souslin-tree constructions, and argued that all known ?-based constructions Souslin trees with various additional properties may be rendered as applications our approach. paper, show following same carried out even in absence ?. particular, obtain a new weak sufficient condition for existence at level strongly inaccessible cardinal. We also present construction tree an ascent path, thereby increasing consistency strength such tree's nonexistence from Mahlo cardinal weakly compact Section 2 paper is targeted newcomers minimal background. It offers comprehensive exposition subject constructing challenges involved.