NDLI: Hyperarithmetical Index Sets in Recursion Theory

Content Provider	Scilit
Author	Lempp, Steffen
Copyright Year	1987
Description	We define a family of properties on hyperhypersimple sets and show that they yield index sets at each level of the hyperarithmetical hierarchy. An extension yields a $\Pi _1^1$-complete index set. We also classify the index set of quasimaximal sets, of coinfinite r.e. sets not having an atomless superset, and of r.e. sets major in a fixed nonrecursive r.e. set.
Related Links	https://www.ams.org/tran/1987-303-02/S0002-9947-1987-0902785-2/S0002-9947-1987-0902785-2.pdf
Ending Page	583
Page Count	25
Starting Page	559
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/2000684
Journal	Transactions of the American Mathematical Society
Issue Number	2
Volume Number	303
Language	English
Publisher	Duke University Press
Publisher Date	1987-10-01
Access Restriction	Open
Subject Keyword	Logic Index Set Quasimaximal Sets Complete Index Atomless Superset Fixed Nonrecursive Hyperarithmetical Hierarchy Nonrecursive R.e Extension Yields Yield Index Sets Major
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Hyperarithmetical Index Sets in Recursion Theory