Recursive constructions in topological spaces

Journal of Symbolic Logic 44 (4):609-625 (1979)
We study topological constructions in the recursion theoretic framework of the lattice of recursively enumerable open subsets of a topological space X. Various constructions produce complemented recursively enumerable open sets with additional recursion theoretic properties, as well as noncomplemented open sets. In contrast to techniques in classical topology, we construct a disjoint recursively enumerable collection of basic open sets which cannot be extended to a recursively enumerable disjoint collection of basic open sets whose union is dense in X
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2273299
 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
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 23,201
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

Add more references

Citations of this work BETA
Dieter Spreen (1996). Effective Inseparability in a Topological Setting. Annals of Pure and Applied Logic 80 (3):257-275.

View all 6 citations / Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

7 ( #507,426 of 1,940,950 )

Recent downloads (6 months)

1 ( #457,798 of 1,940,950 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.