光纤映射空间在束、前空间及其他映射类别指数律中的应用

General Topology and its Applications Pub Date : 1978-03-01 DOI:10.1016/0016-660X(78)90048-X

Peter I. Booth, Ronald Brown

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引用次数: 22

摘要

前人在b上空间的TopB类中构造了指数律，本文将这些律与已知的局部平凡映射的构造联系起来，并构造了前空间、纤维化截面空间和纤维化相对提升空间的指数律。讨论了映射同伦类的这些定律的版本。

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On the application of fibred mapping spaces to exponential laws for bundles, ex-spaces and other categories of maps

A previous paper constructed exponential laws in the category Top_B 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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General Topology and its Applications

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