A constructive look at the completeness of the space $\mathcal{d} (\mathbb{r})$

Journal of Symbolic Logic 67 (4):1511-1519 (2002)
Abstract
We show, within the framework of Bishop's constructive mathematics, that (sequential) completeness of the locally convex space $\mathcal{D} (\mathbb{R})$ of test functions is equivalent to the principle BD-N which holds in classical mathemtatics, Brouwer's intuitionism and Markov's constructive recursive mathematics, but does not hold in Bishop's constructivism
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/jsl/1190150296
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: 29,174
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Reflections on Function Spaces.Douglas S. Bridges - 2012 - Annals of Pure and Applied Logic 163 (2):101-110.
The Uniform Boundedness Theorem and a Boundedness Principle.Hajime Ishihara - 2012 - Annals of Pure and Applied Logic 163 (8):1057-1061.

Add more citations

Similar books and articles
Added to PP index
2009-01-28

Total downloads
202 ( #20,818 of 2,180,223 )

Recent downloads (6 months)
1 ( #304,931 of 2,180,223 )

How can I increase my downloads?

Monthly 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