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Title: Categories of operators and H-spaces
Author: Vogt, Rainer
ISNI:       0000 0001 3548 9756
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1968
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By introducing categories or operators the concept or an associative H-space is generalized. Each such category gives rise to a structure on a space X if it can be made to act on it. To each category C of operators a category WC~ of operators is associated which gives rise to a C-structure up to higher homotopies and all possible coherence conditions. After introducing the notion or a structure map and or homotopies or structure maps the category of WC~ --spaces and homotopy classes or structure maps is set up and studied. The theory is applied to prove a classification theorem.
Supervisor: Not available Sponsor: Studienstiftung des Deutschen Volkes (German National Scholarship Foundation)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics