{"title":"On the application of fibred mapping spaces to exponential laws for bundles, ex-spaces and other categories of maps","authors":"Peter I. Booth, Ronald Brown","doi":"10.1016/0016-660X(78)90048-X","DOIUrl":null,"url":null,"abstract":"<div><p>A previous paper constructed exponential laws in the category <strong>Top<sub><em>B</em></sub></strong> of spaces over <em>B</em>. The present paper relates these laws to constructions known for locally trivial maps, and constructs also new exponential laws for ex-spaces, fibred section spaces and fibred relative lifting spaces. Versions of these laws for homotopy classes of maps are discussed.</p></div>","PeriodicalId":100574,"journal":{"name":"General Topology and its Applications","volume":"8 2","pages":"Pages 165-179"},"PeriodicalIF":0.0000,"publicationDate":"1978-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0016-660X(78)90048-X","citationCount":"22","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Topology and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0016660X7890048X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 22
Abstract
A previous paper constructed exponential laws in the category TopB of spaces over B. The present paper relates these laws to constructions known for locally trivial maps, and constructs also new exponential laws for ex-spaces, fibred section spaces and fibred relative lifting spaces. Versions of these laws for homotopy classes of maps are discussed.
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