Applications of elementary submodels in general topology
type: Item
instance of: scholarly article
title: Applications of elementary submodels in general topology
zbMATH Open document ID: 1027.54005
DOI: 10.1023/A:1020819407308
published in: Synthese
publication date: 2003-04-27T00:00:00Z
review text: One may say that this paper is another introduction to applications of elementary submodels to topology. It is clearly intended to, and succeeds at, providing the basics for a reader interested in understanding proofs using elementary submodels. A nice proof is included that network-weight is equal to weight for compact spaces. A more advanced topic, briefly discussed, is that of internally approachable models and \(V_\kappa\)-like models. The final section reminds the reader of Bandlow's approach of using elementary submodels to define an equivalence relation, thereby a quotient space, of a compact space.
reviewed by: Alan Dow
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 03C98
Mathematics Subject Classification ID: 03E75
zbMATH DE Number: 1901259
zbMATH Keywords: elementary submodels
zbMATH Keywords: cardinal invariants
author: Stefan Geschke
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1901259