{"title":"Every connected first countable T1-space is a continuous open image of a connected metrizable space","authors":"V. Smolin","doi":"10.1007/s10474-024-01474-3","DOIUrl":null,"url":null,"abstract":"<div><p>Answering a question posed by Vladimir Tkachuk, we prove that\nevery connected first countable <i>T</i><sub>1</sub>-space is a continuous open image of a connected\nmetrizable space.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"174 1","pages":"266 - 273"},"PeriodicalIF":0.6000,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01474-3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Answering a question posed by Vladimir Tkachuk, we prove that
every connected first countable T1-space is a continuous open image of a connected
metrizable space.
期刊介绍：
Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.
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