Consequences of the Cantor construction
type: Item
instance of: scholarly article
title: Consequences of the Cantor construction
zbMATH Open document ID: 0535.03024
DOI: 10.1016/0022-247X(84)90288-9
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: The author inductively defines the notion of perfect cardinals: \(\kappa\) is perfect if and only if \(\kappa =\sum \kappa^{\lambda}\) where the sum is over all perfect \(\lambda<\kappa\). Several properties of them are proved without explicitly stating that they are exactly 0, 1, the strongly inaccessibles and cardinals of the form \(\beth_{\alpha +1}\). A notion of stationary sets is also defined.
Mathematics Subject Classification ID: 03E10
Mathematics Subject Classification ID: 03E50
Mathematics Subject Classification ID: 03E55
zbMATH DE Number: 3849217
zbMATH Keywords: diagonalization
zbMATH Keywords: stationary sets
zbMATH Keywords: measurable cardinals
zbMATH Keywords: perfect cardinals
reviewed by: Péter Komjáth
MaRDI profile type: Publication
cites work: The Cantor construction
cites work: Q3852172
full work available at URL: 0022-247x(84)90288-9
OpenAlex ID: W2071878985
author: Louis de Branges de Bourcia
description: scientific article; zbMATH DE number 3849217