# Abstract/Details

## Some results on jumps of splittings of recursively enumerable sets

1990 1990

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### Abstract (summary)

A recursively enumerable (r.e.) set A of degree $\underline a$ is said to have the universal jump splitting property (UJSP) if for each r.e. degree $\underline b$ below $\underline a$, there is a splitting of A into disjoint r.e. sets B and C such that $B\sp\prime$ has the same degree as $\underline b\sp\prime$. We show that there are r.e. sets A which fail to have UJSP. We also show that there is an r.e. set A such that the set of degrees of jumps of splittings of A is not dense in the degrees r.e. in $\emptyset\sp\prime$ and below $A\sp\prime$.

### Indexing (details)

Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
Some results on jumps of splittings of recursively enumerable sets
Author
Zou, Zhiming
Number of pages
46
Publication year
1990
Degree date
1990
School code
0056
Source
DAI-B 52/01, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9115589
ProQuest document ID
303843731