The problem of the formalization of constructive topology

Archive for Mathematical Logic

Volumn 44, Issue 1, 2005, Pages 115-129

  Valentini, Silvio ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22044431854     PISSN: 09335846     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00153-004-0243-1     Document Type: Article

References (9)

1. [CSSV] Coquand, T., Sambin, G., Smith, J., Valentini, S.: Inductively generated formal topologies. Ann. Pure and Applied Logic, 124 (1-3), 71-106 (2003)
2. [Eng77] Engelking, R.: General Topology. Polish Scientific Publisher, Warszawa, 1977
3. [ML84] Martin-Löf, P.: Intuitionistic Type Theory, notes by G. Sambin of a series of lectures given in Padua. Bibliopolis, Naples, 1984
4. [NV97] Negri, S., Valentini, S.: Tychonoff's theorem in the framework of formal topologies. J. Symbolic Logic, 62 (4), 1315-1332 (1997)
5. [Sam02] Sambin, G.: Some points in formal topology. Topology in computer science (Schlo Dagstuhl, 2000). Theoretical Computer Science, 305 (1-3), 347-408 (2003)
6. [GS99] Sambin, G., Gebellato, S.: A preview of the basic picture: a new perspective on formal topology. Proceedings of the Annual Meeting of the Types Working Group "Types "98", T. Altenkirch and W. Naraschewski and B. Reus (eds.), Springer Lecture Notes in Computer Science, 1999, pp. 194-207
7. [Sam04] Sambin, G. with Gebellato, S., Martin-Löf, P., Capretta, V.: The basic picture. To appear
8. [SV98] Sambin, G., Valentini, S.: Building up a tool-box for Martin-Löf intuitionistic type theory. In: Twenty-five years of Constructive Type Theory, G. Sambin and J. Smith (eds.), Oxford logic guides 36, 221-244 (1998)
9. [Val00] Valentini, S.: The problem of completeness of formal topologies with a binary positivity predicate and their inductive generation, http: //www.math.unipd.it/~silvio