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Title: Some problems in algebraic topology : systems of higher order cohomology operations in the p-torsion-free category
Author: Holtzman, D. N.
ISNI:       0000 0001 3581 0343
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 1979
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In this thesis, we establish a pair of systems of higher order cohomology operations that act on the Ζp-ordinary cohomology of spaces that are free of p-torsion. These "pyramids" of operations are generated by the p-divisibility of certain sums of "pseudo" primary cohomology operations that operate on the p-local cohomology of p-torsion-free spaces. The properties of these higher order operations allow us to prove theorems that either generalise or improve (in the sense of decreasing indeterminacy) several results in the literature.
Supervisor: Hubbuck, John R. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Algebraic topology ; Torsion ; Cohomology operations