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General Topology and its Applications最新文献

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Cross sectionally simple spheres can be wild 横截面简单的球体可以很狂野
General Topology and its Applications Pub Date : 1979-05-01 DOI: 10.1016/0016-660X(79)90003-5
R.J. Daverman , S.A. Pax
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引用次数: 3
Shrinkable decompositions of non-metric manifolds can produce other manifolds 非度量流形的收缩分解可以产生其他流形
General Topology and its Applications Pub Date : 1979-02-01 DOI: 10.1016/0016-660X(79)90026-6
Robert J. Daverman
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引用次数: 0
F-Expansive transformation groups f -膨胀变换群
General Topology and its Applications Pub Date : 1979-02-01 DOI: 10.1016/0016-660X(79)90029-1
H.B. Keynes , M. Sears
{"title":"F-Expansive transformation groups","authors":"H.B. Keynes ,&nbsp;M. Sears","doi":"10.1016/0016-660X(79)90029-1","DOIUrl":"10.1016/0016-660X(79)90029-1","url":null,"abstract":"<div><p>An initial investigation in <span><math><mtext>F</mtext></math></span>-expansion relative to families of continuous functions on the acting group is presented, modelled after previous work of Bowen and Walters on real flows. Basic properties are established, and expansion in the natural class of non-trivial homomorphisms is extensively studied. Finally, modelling discrete flows with such expansion in symbolic subshifts is investigated. Generalizations to <strong>R</strong><sup>n</sup> and <strong>Z</strong><sup>n</sup> are indicated.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 67-85"},"PeriodicalIF":0.0,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90029-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86088091","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: 15
The free topological group over the rationals 有理数上的自由拓扑群
General Topology and its Applications Pub Date : 1979-02-01 DOI: 10.1016/0016-660X(79)90027-8
Temple H. Fay, Edward T. Ordman, Barbara V. Smith Thomas
{"title":"The free topological group over the rationals","authors":"Temple H. Fay,&nbsp;Edward T. Ordman,&nbsp;Barbara V. Smith Thomas","doi":"10.1016/0016-660X(79)90027-8","DOIUrl":"10.1016/0016-660X(79)90027-8","url":null,"abstract":"<div><p>In this paper we investigate the topological structure of the Graev free topological group over the rationals. We show that this free group fails to be a <em>k</em>-space and fails to carry the weak topology generated by its subspaces of words of length less than or equal to <em>n</em>. As tools in this investigation we establish some properties of net convergence in free groups and also some properties of certain canonical maps which are closely related to the topological structure of free groups.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 33-47"},"PeriodicalIF":0.0,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90027-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86068166","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: 28
Infinite products which are homeomorphic to Hilbert space 无限个同胚于希尔伯特空间的积
General Topology and its Applications Pub Date : 1979-02-01 DOI: 10.1016/0016-660X(79)90025-4
D.W. Curtis, Vo-Thanh-Liem
{"title":"Infinite products which are homeomorphic to Hilbert space","authors":"D.W. Curtis,&nbsp;Vo-Thanh-Liem","doi":"10.1016/0016-660X(79)90025-4","DOIUrl":"10.1016/0016-660X(79)90025-4","url":null,"abstract":"","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 19-25"},"PeriodicalIF":0.0,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90025-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82639459","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: 2
On subparacompactness and related properties 关于次副紧性及其相关性质
General Topology and its Applications Pub Date : 1979-02-01 DOI: 10.1016/0016-660X(79)90024-2
Józef Chaber
{"title":"On subparacompactness and related properties","authors":"Józef Chaber","doi":"10.1016/0016-660X(79)90024-2","DOIUrl":"10.1016/0016-660X(79)90024-2","url":null,"abstract":"<div><p>An approach to the theory of subparacompactness is presented here. This approach allows one to understand the notions of subexpandability and to generalize a theorem from [6]. We also give an answer to a question from [5].</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 13-17"},"PeriodicalIF":0.0,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90024-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76380413","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: 13
Hereditary normality and souslin lines 遗传正态性和苏索林系
General Topology and its Applications Pub Date : 1979-02-01 DOI: 10.1016/0016-660X(79)90032-1
Mary E. Rudin
{"title":"Hereditary normality and souslin lines","authors":"Mary E. Rudin","doi":"10.1016/0016-660X(79)90032-1","DOIUrl":"10.1016/0016-660X(79)90032-1","url":null,"abstract":"<div><p>No square of a Souslin line or tree is hereditary normal.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 102-105"},"PeriodicalIF":0.0,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90032-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78589690","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: 17
Compactifications of the rationals and small compact spaces 有理数的紧化与小紧化空间
General Topology and its Applications Pub Date : 1979-02-01 DOI: 10.1016/0016-660X(79)90030-8
Ronnie Levy
{"title":"Compactifications of the rationals and small compact spaces","authors":"Ronnie Levy","doi":"10.1016/0016-660X(79)90030-8","DOIUrl":"10.1016/0016-660X(79)90030-8","url":null,"abstract":"<div><p>Conditions assuring that a compact space is a compactification of the rationals are given. Relations between the π-weight and strong density are discussed.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 87-91"},"PeriodicalIF":0.0,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90030-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85818594","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: 0
New dimension-theory techniques for constructing infinite-dimensional examples 构建无限维例子的新维理论技术
General Topology and its Applications Pub Date : 1979-02-01 DOI: 10.1016/0016-660X(79)90031-X
Leonard R. Rubin, R.M. Schori, John J. Walsh
{"title":"New dimension-theory techniques for constructing infinite-dimensional examples","authors":"Leonard R. Rubin,&nbsp;R.M. Schori,&nbsp;John J. Walsh","doi":"10.1016/0016-660X(79)90031-X","DOIUrl":"10.1016/0016-660X(79)90031-X","url":null,"abstract":"<div><p>Dimension theory for separable metric spaces is approached using the concept of essential families (for example, the <em>n</em> pairs of opposite faces of the <em>n</em>-cube). A new theory of essential families is developed and is used to construct examples of infinite-dimensional compacta that contain no closed <em>n</em>-dimensional (<em>n</em> ⩾ 1) subsets; these constructions are conceptually much easier than previous ones. Also, the theory is used to construct easy examples of <em>n</em>-dimensional, totally disconnected spaces.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 93-102"},"PeriodicalIF":0.0,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90031-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79349139","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: 51
Generalizations of quasi-k spaces 准k空间的推广
General Topology and its Applications Pub Date : 1979-02-01 DOI: 10.1016/0016-660X(79)90022-9
Andrew J. Berner
{"title":"Generalizations of quasi-k spaces","authors":"Andrew J. Berner","doi":"10.1016/0016-660X(79)90022-9","DOIUrl":"10.1016/0016-660X(79)90022-9","url":null,"abstract":"<div><p>Four classes of spaces are considered, all generalizing quasi-<em>k</em> spaces.The implications among these classes under the assumptions that the spaces are Hausdorff, regular, and normal are briefly discussed. A regular relatively bi-quasi-<em>k</em> space which is not quasi-<em>k</em> is constructed, answering a question of Olson. The continuum hypothesis is used to construct a relatively quasi-<em>k</em> space that is not quasi-<em>k</em>.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"10 1","pages":"Pages 1-6"},"PeriodicalIF":0.0,"publicationDate":"1979-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(79)90022-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72669485","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: 1
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