Nonreflecting stationary sets in Pkappa(lambda)
Abstract
Let kappa be a regular uncountable cardinal and lambda >=kappa+ . The principle of stationary reflection for Pkappa lambda has been successful in settling problems of infinite combinatorics in the case kappa=omega1. For a greater kappa the principle is known to fail at some lambda. This note shows that it fails at every lambda if kappa is the successor of a regular uncountable cardinal or kappa is countably closed.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.