Vogt, Rainer (1968) Categories of operators and H-spaces. PhD thesis, University of Warwick.

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Abstract

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.

Item Type:	Thesis or Dissertation (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	H-spaces, Homotopy theory
Official Date:	1968
Dates:	Date Event 1968 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Boardman, J. M. (John Michael)
Sponsors:	Studienstiftung des Deutschen Volkes [German National Scholarship Foundation]
Extent:	182, 17 leaves.
Language:	eng

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