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General Topology and its Applications最新文献

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A characterization of almost periodic homeomorphisms on the 2-sphere and the annulus 2球和环上概周期同胚的刻画
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90022-3
Gerhard X. Ritter
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引用次数: 5
Shape fibrations I 形状振动I
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90023-5
S. Mardešić, T. Rushing
{"title":"Shape fibrations I","authors":"S. Mardešić, T. Rushing","doi":"10.1016/0016-660X(78)90023-5","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90023-5","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":" 3","pages":"193-215"},"PeriodicalIF":0.0,"publicationDate":"1978-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91514911","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}
引用次数: 44
Pseudo-open functions are monotonic decreasing for ordinal and cardinal invariants 对于序不变量和基数不变量，伪开函数是单调递减的
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90028-4
James R. Boone
{"title":"Pseudo-open functions are monotonic decreasing for ordinal and cardinal invariants","authors":"James R. Boone","doi":"10.1016/0016-660X(78)90028-4","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90028-4","url":null,"abstract":"<div><p>A new property of pseudo-open functions is presented in this paper. Pseudo-open functions are monotonic decreasing with respect to ordinal and cardinal invariants defined by compact and sequential closures. A weak form of continuity, called <em>k</em>-continuous, is defined, characterized and used in the proof of the monotonicity properties of pseudo-open mappings. The relationships between the classes of <em>k</em>-continuous and sequentially continuous mappings in the category of all topological spaces and the continuous mappings in the subcategories of <em>k</em>-spaces and sequential spaces are presented.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 3","pages":"Pages 243-251"},"PeriodicalIF":0.0,"publicationDate":"1978-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90028-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91638695","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}
引用次数: 3
Gσ-sets in symmetrizable and related spaces 对称及相关空间中的g σ-集
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90029-6
S.W. Davis, G. Gruenhage, P.J. Nyikos
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引用次数: 24
Contractibility of Whitney continua in C(X) C(X)中Whitney连续体的可缩性
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90031-4
Ann Petrus
{"title":"Contractibility of Whitney continua in C(X)","authors":"Ann Petrus","doi":"10.1016/0016-660X(78)90031-4","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90031-4","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"55 1","pages":"275-288"},"PeriodicalIF":0.0,"publicationDate":"1978-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87728925","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}
引用次数: 27
A note on a theorem of arhangel'skiǐ 关于arhangel' skiy的一个定理的注解
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90024-7
Mohammad Ismail
{"title":"A note on a theorem of arhangel'skiǐ","authors":"Mohammad Ismail","doi":"10.1016/0016-660X(78)90024-7","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90024-7","url":null,"abstract":"<div><p>Arhangel'skiǐ proved that the Continuum Hypothesis implies that if a regular space <em>X</em> is hereditarily of pointwise countable type then the set of points as which the character of <em>X</em> is countable is a dense subset of <em>X</em>. In this note we prove this theorem without the use of the Continuum Hypothesis.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 3","pages":"Pages 217-220"},"PeriodicalIF":0.0,"publicationDate":"1978-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90024-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90003230","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}
引用次数: 3
Pseudo-open functions are monotonic decreasing for ordinal and cardinal invariants 对于序不变量和基数不变量，伪开函数是单调递减的
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90028-4
James R. Boone
{"title":"Pseudo-open functions are monotonic decreasing for ordinal and cardinal invariants","authors":"James R. Boone","doi":"10.1016/0016-660X(78)90028-4","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90028-4","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"39 7","pages":"243-251"},"PeriodicalIF":0.0,"publicationDate":"1978-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72588011","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}
引用次数: 3
Gσ-sets in symmetrizable and related spaces 对称及相关空间中的g σ-集
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90029-6
S. W. Davis, G. Gruenhage, P. Nyikos
{"title":"Gσ-sets in symmetrizable and related spaces","authors":"S. W. Davis, G. Gruenhage, P. Nyikos","doi":"10.1016/0016-660X(78)90029-6","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90029-6","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"40 1","pages":"253-261"},"PeriodicalIF":0.0,"publicationDate":"1978-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89945810","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}
引用次数: 24
A completeness property of some function spaces 一些函数空间的完备性
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90027-2
S. S. Khurana
{"title":"A completeness property of some function spaces","authors":"S. S. Khurana","doi":"10.1016/0016-660X(78)90027-2","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90027-2","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 1","pages":"239-241"},"PeriodicalIF":0.0,"publicationDate":"1978-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74927628","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}
引用次数: 0
Martin's axiom and normality 马丁公理和正态性
General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90030-2
I. Juhász, W. Weiss
{"title":"Martin's axiom and normality","authors":"I. Juhász, W. Weiss","doi":"10.1016/0016-660X(78)90030-2","DOIUrl":"https://doi.org/10.1016/0016-660X(78)90030-2","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"11 1","pages":"263-274"},"PeriodicalIF":0.0,"publicationDate":"1978-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78897284","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}
引用次数: 11
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