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Title: Projective spaces and associated maps
Author: Rees, Elmer G.
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1967
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The groups KO[superscript]i are computed for real, complex and quaternionic spaces. A study is made of which elements in [pie][subscript]nS[superscript]n-i can be represented by a map f such that f(tx)= f(x) for a given involution t on S[superscript]n, for i=0,1,2,3. Certain elements in arbitrarily high stems are shown not to be represented by any such map. A computation is also made of the number of homotopy classes of multiplications on p3 and p7, this had been done for p3 by Naylor but the method used here is much simpler.
Supervisor: Not available Sponsor: Science Research Council (Great Britain)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics