Topology of fibrations

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

[English] PDF (Migrated (PDF/A Conversion) from original format: (application/pdf)) - Accepted Version 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. Download (32MB) [English] PDF - Accepted Version 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. (Original Version)

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.

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