The product of two ordinals is hereditarily countably metacompact
type: Item
instance of: scholarly article
title: The product of two ordinals is hereditarily countably metacompact
zbMATH Open document ID: 0883.54009
DOI: 10.1016/S0166-8641(96)00047-8
author: Nobuyuki Kemoto
author: Kerry D. Smith
published in: Topology and its Applications
publication date: 1998-03-05T00:00:00Z
review text: Let \(\mu\) be an ordinal number. We consider \(\mu\) as the space of ordinal numbers less than \(\mu\) with the order topology. It is shown that any subspace of \(\mu \times \mu\) is countably metacompact, which gives a positive answer to the question in [\textit{N. Kemoto, H. Ohta} and \textit{K. Tamano}, Topology Appl. 45, No. 3, 245-260 (1992; Zbl 0789.54006)] whether the product of any two subspaces of \(\mu\) is countably metacompact or not.
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54D20
zbMATH DE Number: 987915
zbMATH Keywords: countably metacompact
zbMATH Keywords: product space
zbMATH Keywords: ordinals
reviewed by: Ken-ichi Tamano
MaRDI profile type: Publication
cites work: Products of spaces of ordinal numbers
cites work: Set theory. An introduction to independence proofs
description: scientific article; zbMATH DE number 987915