{"title":"Spaces with bases of countable rank","authors":"G. Gruenhage, P. Nyikos","doi":"10.1016/0016-660X(78)90004-1","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90004-1","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"32 1","pages":"233-257"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87613741","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":"Elementary proofs of stability theorems in pro-homotopy and shape","authors":"Ross Geoghegan","doi":"10.1016/0016-660X(78)90006-5","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90006-5","url":null,"abstract":"<div><p>Complete proofs are given, requiring only elementary homotopy theory as background, of certain theorems characterizing those spaces having the shape of simplicial complexes, and those pro-complexes having the pro-homotopy type of complexes.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"8 3","pages":"Pages 265-281"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90006-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90015544","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":"Spaces with σ-point finite bases","authors":"W. Hunsaker, W. Lindgren","doi":"10.1016/0016-660X(78)90003-X","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90003-X","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"11 1","pages":"229-232"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89250426","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":"An erroneous argument","authors":"B. Garrett","doi":"10.1016/0016-660X(78)90008-9","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90008-9","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"13 1","pages":"291-295"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73468953","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":"An explicit answer","authors":"W. Barit","doi":"10.1016/0016-660X(78)90009-0","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90009-0","url":null,"abstract":"<div><p>The class of connectivity functions and two similarly defined classes are shown to be distinct.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"8 3","pages":"Pages 297-298"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90009-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91688458","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":"The category of all zero-dimensional realcompact spaces is not simple","authors":"Adam Mysior","doi":"10.1016/0016-660X(78)90005-3","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90005-3","url":null,"abstract":"<div><p>For every zero-dimensional space <em>E</em> of non-measurable cardinality we construct a zero-dimensional, hereditarily realcompact, locally compact and locally countable space which cannot be embedded as a closed subspace into any topological power of the space <em>E</em>. Under the assumption that all cardinals are non-measurable it gives the result stated in the title.</p><p>This is an answer for a question raised by H. Herrlich</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"8 3","pages":"Pages 259-264"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90005-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90015543","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":"Elementary proofs of stability theorems in pro-homotopy and shape","authors":"R. Geoghegan","doi":"10.1016/0016-660X(78)90006-5","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90006-5","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"8 1","pages":"265-281"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79562567","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":"Scattered spaces and their compactifications","authors":"R. Solomon","doi":"10.1016/0016-660X(78)90010-7","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90010-7","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"1 1","pages":"299-301"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91103833","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":"Spaces with bases of countable rank","authors":"G. Gruenhage, P. Nyikos","doi":"10.1016/0016-660X(78)90004-1","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90004-1","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"8 3","pages":"Pages 233-257"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90004-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91688461","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":"Products of topological spaces","authors":"J.E. Vaughan","doi":"10.1016/0016-660X(78)90001-6","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90001-6","url":null,"abstract":"<div><p>The main purpose of this paper is to unify a number of theorems in topology whose conclusions state that a product of topological spaces has a compactness-like property.Three such theorems are (1) the Tychonoff theorem: Every product of compact spaces is compact, (2) the theorem of C.T. Scarborough and A.H. Stone: Every product of at most <strong>N</strong><sub>1</sub> sequentially compact spaces is countably compact, and (3) the theorem of N. Noble: A countable product of Lindelöf <em>P</em>-spaces is Lindelöf.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"8 3","pages":"Pages 207-217"},"PeriodicalIF":0.0,"publicationDate":"1978-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90001-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91688462","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}
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