Authors: Qi Feng, Thomas Jech and Jindrich Zapletal
Title: On the structure of stationary sets
Scince in China Ser. A 50 (2007)
Abstract:
We isolate several classes of stationary sets and investigate implications
among them. Under a large cardinal assumption, we prove a structure
theorem for stationary sets.
Authors: Thomas Jech and Saharon Shelah
Title: On reflection of stationary sets in P_kappa lambda
Transactions AMS 352 (2000)
Abstract:
We investigate reflection of stationary sets in P_kappa lambda and prove
a consistency result for the case when lambda is the successor of kappa.
Author: Thomas Jech
Title: Stationary sets
to appear in Handbook of Set Theory (Foreman, Kanamori and Magidor, eds.)
Abstract:
This will be a chapter in the forthcoming Handbook of Set Theory.
It deals with stationary sets of ordinals as well as the generalizations
and concentrates on reflection properties and saturation.
Authors: Qi Feng and Thomas Jech
Title: Projective stationary sets and strong reflection
principles
J. London Math. Soc. 58 (1999)
Abstract:
In this paper, we define projective stationary sets and
prove that Martin's Maximum implies that every projective
stationary set contains an increasing continuous chain of length
omega_1. We also show that several major consequences of Martin's Maximum
follow from this strong reflection principle.
Authors: Thomas Jech and Jiri Witzany
Title: Full reflection at a measurable cardinal
J. Symb. Logic 59 (1994)
Abstract:
We prove that it is consistent that
every stationary subset of a measurable cardinal
reflects fully at regular cardinals.
Authors: Thomas Jech and Saharon Shelah
Title: Full reflection of stationary sets at regular cardinals
Amer. J. Math. 115 (1993)
Abstract:
We prove that the Axiom of Full Reflection which states that
every stationary set reflects fully at regular cardinals, together with the
existence of n-Mahlo cardinals
is equiconsistent with the existence of Pi^1_n-indescribable
cardinals. We also state the appropriate generalization for greatly Mahlo
cardinals.
Authors: Thomas Jech and Saharon Shelah
Title: Full reflection of stationary sets below aleph_omega
J. Symb. Logic 55 (1990)
Abstract: It is consistent that for every n greater than 2,
every stationary subset of omega_n
consisting of ordinals of cofinality omega_k, where k=0 or k is less than n-2,
reflects fully in the set of ordinals of cofinality omega_(n-1).
We also show that this result is best possible.