Continuity and nondiscontinuity in constructive mathematics

Journal of Symbolic Logic 56 (4):1349-1354 (1991)
Abstract
The purpose of this paper is an axiomatic study of the interrelations between certain continuity properties. We show that every mapping is sequentially continuous if and only if it is sequentially nondiscontinuous and strongly extensional, and that "every mapping is strongly extensional", "every sequentially nondiscontinuous mapping is sequentially continuous", and a weak version of Markov's principle are equivalent. Also, assuming a consequence of Church's thesis, we prove a version of the Kreisel-Lacombe-Shoenfield-Tsĕitin theorem
Keywords Sequentially continuous   sequentially nondiscontinuous   weak version of Markov's principle   Kreisel-Lacombe-Shoenfield-Tseitin theorem
Categories (categorize this paper)
DOI 10.2307/2275479
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 27,621
Through your library
References found in this work BETA
Constructively Complete Finite Sets.Mark Mandelkern - 1988 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 34 (2):97-103.
Constructively Complete Finite Sets.Mark Mandelkern - 1988 - Mathematical Logic Quarterly 34 (2):97-103.

Add more references

Citations of this work BETA
Apartness Spaces as a Framework for Constructive Topology.Douglas Bridges & Luminiţa Vîţă - 2003 - Annals of Pure and Applied Logic 119 (1-3):61-83.
Uniform Continuity Properties of Preference Relations.Douglas S. Bridges - 2008 - Notre Dame Journal of Formal Logic 49 (1):97-106.
Weak-Operator Continuity and the Existence of Adjoints.Douglas Bridges & Luminita Dediu - 1999 - Mathematical Logic Quarterly 45 (2):203-206.

View all 7 citations / Add more citations

Similar books and articles

Monthly downloads

Added to index

2009-01-28

Total downloads

11 ( #402,552 of 2,169,071 )

Recent downloads (6 months)

1 ( #345,851 of 2,169,071 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums