Abstract/Details

## Some applications of the P-X dual

Budney, Paul Edward.   University of Connecticut ProQuest Dissertations Publishing,  1990. 9109841.

### Abstract (summary)

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.

### Indexing (details)

Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; abelian groups; cotypeset; typeset
Title
Some applications of the P-X dual
Author
Budney, Paul Edward
Number of pages
65
Degree date
1990
School code
0056
Source
DAI-B 51/11, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-207-82912-8
Wickless, William J.
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9109841
ProQuest document ID
303846665