Topology of fibrations

Caserta, Francesco (1984) Topology of fibrations. Masters thesis, Memorial University of Newfoundland.

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    Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.
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Abstract

This thesis contains a systematic exposition of the topology of fibrations, including Hurewicz, Dold and Serre fibrations and quasifibrations. The fundamental properties and the classical results due to Hurewicz and Dold are discussed in a detailed way. Many examples illustrate the theory; some of them are used to describe properties peculiar of each class of fibrations. The thesis concludes with a discussion of some recent developments. These are: the functional space studied by P. Booth, P. Heath, C. Morgan and R. Piccinini and its application to fibred exponential laws; the theory of F-spaces and F-fibrations introduced by P. May; a categorical interpretation of a fibration as an algebra over the monad which sends each map to its associated fibration.

Item Type: Thesis (Masters)
URI: http://research.library.mun.ca/id/eprint/5581
Item ID: 5581
Additional Information: Bibliography: leaves 223-225.
Department(s): Science, Faculty of > Mathematics and Statistics
Date: 1984
Date Type: Submission
Library of Congress Subject Heading: Fiber spaces (Mathematics); Homotopy theory

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