Content area
Abstract
This dissertation is devoted to demonstrating how P-X duality may be used to obtain results on typesets and cotypesets of finite rank torsion free abelian groups. It is shown how P-X duality allows questions about the typeset of a group to be replaced by questions about the cotypeset of the dual group and how questions about the cotypeset of a group may be replaced by questions about the typeset of the dual group.
Specifically, using P-X duality, new proofs are given of the Cotype theorem and Ito's theorem which show that these theorems are equivalent.
Details
Title
Some applications of the P-X dual
Author
Budney, Paul Edward
Year
1990
ISBN
979-8-207-82912-8
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
303846665
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
