The Jordan curve theorem, formally and informally

American Mathematical Monthly

Volumn 114, Issue 10, 2007, Pages 882-894

  Hales, Thomas C ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37849041322     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.1080/00029890.2007.11920481     Document Type: Article

References (13)

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3. G. Gonthier, lecture at the TYPES conference, Campus Thalès (17 December, 2004).
4. T. Hales, The formal proof of the Jordan curve theorem (HOL Light code), available at http://www/math.pitt.edu/~thales/.
5. J. Harrison, HOL Light, available at http://www.cl.cam.ac.uk/users/jrh/ hol-light/index.html.
6. C. Jordan, Cours d'analyse de l'École Polytechnique, Paris, 1893.
7. A. R. D. Mathias, A term of length 4,523,659,424,929, Foundations of the formal sciences 1 (Berlin, 1999), Synthese 133 (2002) 75-86.
8. R. Maehara, The Jordan curve theorem via the Brouwer fixed point theorem, this MONTHLY 91 (1984) 641-643.
9. MIZAR formalization of the Jordan curve theorem, available at http://mizar.uwb.edu.pl/jordan/
10. Y. Nakamura and Y. Takeuchi, On the Jordan curve theorem (1980, preprint).
11. C. Thomassen, The Jordan-Schönflies theorem and the classification of surfaces, this MONTHLY 99 (1992) 116-130.
12. A. Trybulec, MIZAR proofs, April 1999, available at http://www.cs.nyu. edu/pipermail/fom/1999-April/002996.html.
13. O. Veblen, Theory on plane curves in non-metrical analysis situs, Trans. Amer. Math. Soc. 6 (1905) 83-98.