On compact-covering and sequence-covering images of metric spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 1289.54064
publication date: 2013-10-18T00:00:00Z
Mathematics Subject Classification ID: 54C10
Mathematics Subject Classification ID: 54D70
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 54E20
zbMATH DE Number: 6217216
zbMATH Keywords: metrizable spaces
zbMATH Keywords: compact-covering maps
zbMATH Keywords: 1-sequence-covering maps
zbMATH Keywords: so-network
zbMATH Keywords: snf-countable spaces
author: Jing Zhang
MaRDI profile type: Publication
title: On compact-covering and sequence-covering images of metric spaces
published in: Matematički Vesnik
review text: To find internal characterizations of certain images of metric spaces is one of the central problems in general topology. The compact-covering and open images of metric spaces are the first countable spaces every compact subset of which is metrizable. However, the inverse does not hold and thus one wants to know for first countable spaces every compact subset of which is metrizable, how to characterize them as certain images of metric spaces.NEWLINENEWLINE The author studies the characterizations of compact-covering and 1-sequence-covering (resp. 2-sequence-covering) images of metric spaces and gives a positive answer to the above question.
reviewed by: Jelena Grbić
description: scientific article; zbMATH DE number 6217216