A topology on the union of the double arrow space and the integers
type: Item
instance of: scholarly article
title: A topology on the union of the double arrow space and the integers
zbMATH Open document ID: 0632.54023
DOI: 10.1016/0166-8641(88)90010-7
author: Stephen Watson
author: William A. R. Weiss
published in: Topology and its Applications
publication date: 1988-01-01T00:00:00Z
review text: We construct a topology on the union of the double arrow space (Cantor set version) and the integers which is a hereditarily Lindelöf hereditarily separable 0-dimensional compact Hausdorff space but not the continuous image of a closed subspace of the product of the double arrow space and the closed unit interval (answering a question of Fremlin).
Mathematics Subject Classification ID: 54G20
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54F05
Mathematics Subject Classification ID: 54D30
Mathematics Subject Classification ID: 54C05
zbMATH DE Number: 4028392
zbMATH Keywords: two arrow space
zbMATH Keywords: double arrow space
zbMATH Keywords: hereditarily Lindelöf hereditarily separable 0-dimensional compact Hausdorff space
zbMATH Keywords: closed unit interval
MaRDI profile type: Publication
full work available at URL: 0166-8641(88)90010-7
OpenAlex ID: W2088090606
cites work: Q5596563
cites work: Q3607729
cites work: Q5185667
cites work: Q4150804
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description: scientific article; zbMATH DE number 4028392