General Topology and its Applications最新文献_第6页

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

引用次数: 27

Statistical metric spaces as related to topological spaces 与拓扑空间相关的统计度量空间

General Topology and its Applications Pub Date : 1978-11-01 DOI: 10.1016/0016-660X(78)90026-0

B. Morrel, J. Nagata

引用次数: 33

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

M. Ismail

引用次数: 3

AR associated with ANR-sequence and shape AR与anr序列和形状相关

General Topology and its Applications Pub Date : 1978-07-01 DOI: 10.1016/0016-660X(78)90052-1

Y. Kodama, J. Ono, T. Watanabe

引用次数: 8

On the k-ness for the products of closed images of metric spaces 度量空间闭像积的k度

General Topology and its Applications Pub Date : 1978-07-01 DOI: 10.1016/0016-660X(78)90062-4

Yoshio Tanaka

引用次数: 6

Compactifications of locally compact spaces with zero-dimensional remainder 具有零维余数的局部紧化空间的紧化

General Topology and its Applications Pub Date : 1978-07-01 DOI: 10.1016/0016-660X(78)90057-0

P.C. Baayen, J. van Mill

引用次数: 4

Topological functors and right adjoints 拓扑函子和右伴随

General Topology and its Applications Pub Date : 1978-07-01 DOI: 10.1016/0016-660X(78)90054-5

Harvey Wolff

{"title":"Topological functors and right adjoints","authors":"Harvey Wolff","doi":"10.1016/0016-660X(78)90054-5","DOIUrl":"10.1016/0016-660X(78)90054-5","url":null,"abstract":"<div>Let T:<math><mtext>A</mtext></math> → <math><mtext>L</mtext></math> be an (<math><mtext>L</mtext></math>, <math><mtext>M</mtext></math>)-topological functor and S:<math><mtext>B</mtext></math> → <math><mtext>Y</mtext></math> a faithful functor. Let F:<math><mtext>L</mtext></math> → <math><mtext>Y</mtext></math> and L:<math><mtext>A</mtext></math> → <math><mtext>B</mtext></math> be functors with a:FT → SL an epi natural transformation. We are concerned with the question of when L has a right adjoint given that F has a right adjoint. We give two characterizations of the existence of a right adjoint to L. One involves just the “topological data” and the other is an application of Freyd's adjoint functor theorem. As a consequence, we characterize when a category which is monoidal and (<math><mtext>L</mtext></math>, <math><mtext>M</mtext></math>)-topological over a monoidal closed category is also closed.</div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 2","pages":"Pages 101-110"},"PeriodicalIF":0.0,"publicationDate":"1978-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90054-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78926649","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: 5

Quasi-monotone images of certain classes of continua 一类连续体的拟单调象

General Topology and its Applications Pub Date : 1978-07-01 DOI: 10.1016/0016-660X(78)90055-7

E.E. Grace, Eldon J. Vought

{"title":"Quasi-monotone images of certain classes of continua","authors":"E.E. Grace, Eldon J. Vought","doi":"10.1016/0016-660X(78)90055-7","DOIUrl":"10.1016/0016-660X(78)90055-7","url":null,"abstract":"<div>Let ƒ be a continuous map from a compact metric continuum X onto a continuum Y. Then ƒ is quasi-monotone if, for each subcontinuum K of Y with nonvoid interior, ƒ-1(K) has a finite number of components and each is mapped onto K by ƒ. Examples of quasi-monotone maps are local homeomorphisms and other finite to one confluent maps. In the following all maps are assumed to be quasi-monotone from X onto Y. A theorem of L. Mohier and J.B. Fugate [1] says that if X is irreducible between two of its points then Y is also irreducible between two of its points. This result is generalized to the following theorem. If X is irreducible about a finite point set A then either Y is irreducible about ƒ(A) or there is a point y in Y such that Y is irreducible about {y}⋃ƒ(A⧹{α}) for each a in A. Another result is that if X is a continuum that is separated by no subcontinuum, i.e., a θ1-continuum, then Y is a θ1-continuum or is irreducible between two of its points.</div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"9 2","pages":"Pages 111-116"},"PeriodicalIF":0.0,"publicationDate":"1978-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90055-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90853289","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: 4

On F-spaces 在F-spaces

General Topology and its Applications Pub Date : 1978-07-01 DOI: 10.1016/0016-660X(78)90058-2

Sheldon W. Davis

引用次数: 2

Retractions from βX onto βX-X 从βX缩回到βX- x

General Topology and its Applications Pub Date : 1978-07-01 DOI: 10.1016/0016-660X(78)90061-2

Eric K. van Douwen

引用次数: 7