{"title":"Near Valuations","authors":"Niel Shell","doi":"10.1201/9781003066743-23","DOIUrl":"https://doi.org/10.1201/9781003066743-23","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74566288","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Cover-close topologies for function spaces","authors":"Anthony Irudayanathan","doi":"10.1016/0016-660X(79)90039-4","DOIUrl":"10.1016/0016-660X(79)90039-4","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 3","pages":"Pages 275-281"},"PeriodicalIF":0.0,"publicationDate":"1979-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90039-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74653921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Ultraproducts in topology","authors":"Paul Bankston","doi":"10.1016/0016-660X(79)90035-7","DOIUrl":"https://doi.org/10.1016/0016-660X(79)90035-7","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"1979-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89924753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On θ-refinability of strict p-spaces","authors":"Józef Chaber, Heikki Junnila","doi":"10.1016/0016-660X(79)90036-9","DOIUrl":"10.1016/0016-660X(79)90036-9","url":null,"abstract":"<div><p>In this paper, some partial solutions are given to the problem concerning <em>θ</em>-refinability of strict <em>p</em>-spaces. It is shown that every locally compact strict <em>p</em>-space is <em>θ</em>-refinable and every locally hereditarily separable strict <em>p</em>-space is subparacompact.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 3","pages":"Pages 233-238"},"PeriodicalIF":0.0,"publicationDate":"1979-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90036-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84973445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fully closed maps, scannable spectra and cardinality of hereditarily separable spaces","authors":"V.V. Fedorčuk","doi":"10.1016/0016-660X(79)90038-2","DOIUrl":"10.1016/0016-660X(79)90038-2","url":null,"abstract":"<div><p>In this paper we study the notions of scannable spectrum and roll of a spectral tree, which appeared in slightly different form in [3] and [5] respectively. One of the main results: scannable spectra necessarily have fully closed projections and spectra of length ⩽ω with fully closed projections are scannable. The technique of scannable spectra is used, when we study the new class of fully separable spaces. We prove that the statement - every fully separable almost perfectly normal compact space has cardinality ⩽<strong>c</strong>-is independent of ZFC.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 3","pages":"Pages 247-274"},"PeriodicalIF":0.0,"publicationDate":"1979-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90038-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82766182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On universal metric locally finite dimensional spaces","authors":"Leonid Luxemburg","doi":"10.1016/0016-660X(79)90040-0","DOIUrl":"10.1016/0016-660X(79)90040-0","url":null,"abstract":"<div><p>In this paper we prove the existence of a universal element in the class of locally-finite dimensional metric spaces with weight τ. We also show that every locally finite dimensional metric space has uniformly zero-dimensional continuous mapping in a locally compact locally finite dimensional separable metric space.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 3","pages":"Pages 283-290"},"PeriodicalIF":0.0,"publicationDate":"1979-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90040-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82744191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mappings from S3 to S2 whose point inverses Have the shape of a circle","authors":"D.S. Coram , P.F. Duvall Jr.","doi":"10.1016/0016-660X(79)90037-0","DOIUrl":"10.1016/0016-660X(79)90037-0","url":null,"abstract":"<div><p>Let <em>f</em>:<em>S</em><sup>3</sup>→<em>S</em><sup>2</sup> be a continuous function. If <em>y</em>ϵ<em>S</em><sup>2</sup> assume that <em>f</em><sup>-1</sup> (<em>y</em>) has the shape of a circle and that there are neighborhoods <em>V</em> ⊂ <em>U</em> of <em>f</em><sup>-1</sup>(<em>y</em>) such that for any point inverse <em>f</em><sup>-1</sup>(<em>z</em>)⊂<em>V</em>, the inclusion of <em>f</em><sup>-1</sup>(<em>z</em>) into <em>U</em> is essential. We show that <em>f</em> can be approximated arbitrarily closely by Seifert fiber maps.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 3","pages":"Pages 239-246"},"PeriodicalIF":0.0,"publicationDate":"1979-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90037-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77462366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Topological reduced products via good ultrafilters","authors":"Paul Bankston","doi":"10.1016/0016-660X(79)90002-3","DOIUrl":"10.1016/0016-660X(79)90002-3","url":null,"abstract":"<div><p>Good ultrafilters produce topological ultraproducts which enjoy a strong Baire category property (depending upon how good the ultrafilter is). We exploit this property to prove a “uniform boundedness” theorem as well as a theorem which says that, under the Generalized Continuum Hypothesis (GCH), many ultraproduct spaces have families consisting of closed discrete sets of high cardinality such that every nonempty open set contains one of these sets. In another section we relate the strong Baire properties to the infinite distributivity of Boolean Algebras of regular open sets. Finally, we prove that, under the GCH, a great many topological ultrapowers are homeomorphic to the corresponding ultrapower of the space of rational numbers; and we show further that the GCH is indispensable to the proof. A purely model-theoretic application of our methods solves a problem related to the Keisler-Shelah Ultrapower Theorem.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 2","pages":"Pages 121-137"},"PeriodicalIF":0.0,"publicationDate":"1979-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90002-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90662685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On epireflective subcategories of topological categories","authors":"Th. Marny","doi":"10.1016/0016-660X(79)90006-0","DOIUrl":"10.1016/0016-660X(79)90006-0","url":null,"abstract":"<div><p>In this paper the lattice of all epireflective subcategories of a topological category is studied by defining the <em>T</em><sub>0</sub>-objects of a topological category. A topological category is called universal iff it is the bireflective hull of its <em>T</em><sub>0</sub>-objects. Topological spaces, uniform spaces, and nearness spaces form universal categories. The lattice of all epireflective subcategories of a universal topological category splits into two isomorphic sublattices. Some relations and consequences of this fact with respect to cartesian closedness and simplicity of epireflective subcategories are obtained.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 2","pages":"Pages 175-181"},"PeriodicalIF":0.0,"publicationDate":"1979-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90006-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78302443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
