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STRONG JUMP-TRACEABILITY

Published online by Cambridge University Press:  07 August 2018

NOAM GREENBERG  and
DAN TURETSKY
NOAM GREENBERG
Affiliation:
DEPARTMENT OF MATHEMATICS VICTORIA UNIVERSITY OF WELLINGTON WELLINGTON, NEW ZEALANDE-mail:greenberg@msor.vuw.ac.nzURL: http://homepages.mcs.vuw.ac.nz/greenberg/
DAN TURETSKY
Affiliation:
DEPARTMENT OF MATHEMATICS VICTORIA UNIVERSITY OF WELLINGTON WELLINGTON, NEW ZEALANDE-mail:dan.turetsky@vuw.ac.nzURL: http://tinyurl.com/dturetsky
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Abstract

We review the current knowledge concerning strong jump-traceability. We cover the known results relating strong jump-traceability to randomness, and those relating it to degree theory. We also discuss the techniques used in working with strongly jump-traceable sets. We end with a section of open questions.

Keywords

03D2503D2803D32strong jump-traceabilityK-trivial
Type
Articles
Information
Bulletin of Symbolic Logic , Volume 24 , Issue 2 , June 2018 , pp. 147 - 164
Copyright
Copyright © The Association for Symbolic Logic 2018 

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