Caserta, Francesco (1984) Topology of fibrations. Masters thesis, Memorial University of Newfoundland.
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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)|
|Additional Information:||Bibliography: leaves 223-225.|
|Department(s):||Science, Faculty of > Mathematics and Statistics|
|Library of Congress Subject Heading:||Fiber spaces (Mathematics); Homotopy theory|
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