More on almost Souslin Kurepa trees
Mohammad Golshani

TL;DR
This paper demonstrates the consistency of a Souslin tree transforming into an almost Souslin Kurepa tree after forcing, addressing a question posed by Zakrzewski.
Contribution
It provides a consistency result showing the existence of a Souslin tree that becomes an almost Souslin Kurepa tree through forcing, answering an open question.
Findings
Existence of a Souslin tree that becomes an almost Souslin Kurepa tree after forcing
Addresses a question of Zakrzewski about tree transformations
Shows consistency results in set theory regarding tree properties
Abstract
It is consistent that there exists a Souslin tree such that after forcing with it, becomes an almost Souslin Kurepa tree. This answers a question of Zakrzewski.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms · semigroups and automata theory
