Combinatorial characterization of \(\Pi_1^1\)-indescribability in \(P_\kappa\lambda\)
type: Item
instance of: scholarly article
title: Combinatorial characterization of \(\Pi_1^1\)-indescribability in \(P_\kappa\lambda\)
zbMATH Open document ID: 0907.03022
author: Yoshihiro Abe
published in: Archive for Mathematical Logic
publication date: 1998-10-27T00:00:00Z
review text: The author investigates \(\Pi^1_1\)-indescribability of subsets of \(P_\kappa\lambda\). He describes a combinatorial property which is equivalent to \(\Pi^1_1\)-indescribability and does not depend on the cofinality of \(\lambda\). Further on he studies the relations between \(\Pi^1_1\)-indescribability and supercompactness.
Mathematics Subject Classification ID: 03E05
Mathematics Subject Classification ID: 03E55
zbMATH DE Number: 1187527
zbMATH Keywords: \(\Pi^1_1\)-indescribability
zbMATH Keywords: supercompactness
reviewed by: Martin Weese
MaRDI profile type: Publication
full work available at URL: s001530050097
OpenAlex ID: W2402039100
DOI: 10.1007/S001530050097
description: scientific article; zbMATH DE number 1187527