Generalising the concordant-dissonant factorisation

Includes bibliographical references (leaves 74-76). === The "concordant-dissonant factorization of an arbitrary continuous function" was introduced by Collins in [C 1971]. He defined that a continuous map is concordant if each of its fibres is contained in a quasi-component of its domain a...

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Bibliographic Details
Main Author: Boxall, Gareth
Other Authors: Holgate, D
Format: Dissertation
Language:English
Published: University of Cape Town 2014
Subjects:
Online Access:http://hdl.handle.net/11427/4867
Description
Summary:Includes bibliographical references (leaves 74-76). === The "concordant-dissonant factorization of an arbitrary continuous function" was introduced by Collins in [C 1971]. He defined that a continuous map is concordant if each of its fibres is contained in a quasi-component of its domain and that a continuous map is dissonant iff each of its fibres and each quasi-component of its domain have at most one element in common.