Total sets and objects in domain theory

Annals of Pure and Applied Logic 60 (2):91-117 (1993)
  Copy   BIBTEX

Abstract

Berger, U., Total sets and objects in domain theory, Annals of Pure and Applied Logic 60 91-117. Total sets and objects generalizing total functions are introduced into the theory of effective domains of Scott and Ersov. Using these notions Kreisel's Density Theorem and the Theorem of Kreisel-Lacombe-Shoenfield are generalized. As an immediate consequence we obtain the well-known continuity of computable functions on the constructive reals as well as a domain-theoretic characterization of the Heriditarily Effective Operations

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 104,706

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Analytics

Added to PP
2014-01-16

Downloads
33 (#758,522)

6 months
3 (#1,181,901)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

Domain representability of metric spaces.Jens Blanck - 1997 - Annals of Pure and Applied Logic 83 (3):225-247.
On effective topological spaces.Dieter Spreen - 1998 - Journal of Symbolic Logic 63 (1):185-221.
Uniform heyting arithmetic.Ulrich Berger - 2005 - Annals of Pure and Applied Logic 133 (1):125-148.
Total objects in inductively defined types.Lill Kristiansen & Dag Normann - 1997 - Archive for Mathematical Logic 36 (6):405-436.

View all 15 citations / Add more citations

References found in this work

Theorie der Numerierungen I.Ju L. Eršov - 1973 - Mathematical Logic Quarterly 19 (19‐25):289-388.
Theorie der Numerierungen II.J. U. L. Eršov - 1975 - Mathematical Logic Quarterly 21 (1):473-584.
Countable functionals.S. C. Kleene - 1959 - Journal of Symbolic Logic 27 (3):81--100.

View all 9 references / Add more references