{"title":"Movability of Morphisms in an Enriched Pro-Category and in a $$\\boldsymbol{J}$$ -Shape Category","authors":"P. S. Gevorgyan, I. Pop","doi":"10.3103/s1068362324010035","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Various types of movability for abstract classical pro-morphisms or coherent mappings, and for abstract classical or strong shape morphisms was given by the same authors in some previous paper [10–12]. In the present paper we introduce and study the notions of (uniform) movability, and (uniform) co-movability for a new type of pro-morphisms and shape morphisms belonging to the so called enriched pro-category <span>\\(pro^{J}\\)</span>-<span>\\(\\mathcal{C}\\)</span> and to the corresponding shape category <span>\\(Sh^{J}_{(\\mathcal{C},\\mathcal{D})}\\)</span>, which were introduced by Uglešić [27].</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3103/s1068362324010035","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Various types of movability for abstract classical pro-morphisms or coherent mappings, and for abstract classical or strong shape morphisms was given by the same authors in some previous paper [10–12]. In the present paper we introduce and study the notions of (uniform) movability, and (uniform) co-movability for a new type of pro-morphisms and shape morphisms belonging to the so called enriched pro-category \(pro^{J}\)-\(\mathcal{C}\) and to the corresponding shape category \(Sh^{J}_{(\mathcal{C},\mathcal{D})}\), which were introduced by Uglešić [27].