In this thesis, we establish a pair of systems of higher order cohomology operations that act on the Ζ<sub>p</sub>-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.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:459557 |
| Date | January 1979 |
| Creators | Holtzman, D. N. |
| Contributors | Hubbuck, John R. |
| Publisher | University of Oxford |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://ora.ox.ac.uk/objects/uuid:1d4b823b-3dec-4f92-92a4-a36656c5b475 |
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