The Jordan curve theorem and the Schönflies theorem in weak second-order arithmetic
Author:
Publisher
Springer Science and Business Media LLC
Subject
Logic,Philosophy
Link
http://link.springer.com/content/pdf/10.1007/s00153-007-0050-6.pdf
Reference17 articles.
1. Aleksandrov P.S. (1956). Combinatorial Topology. Graylock Press, New York
2. Berg G., Julian W., Mines R. and Richman F. (1975). The constructive Jordan curve theorem. Rocky Mt. J. Math. 5: 225–236
3. Bertoglio N. and Chuaqui R. (1994). An elementary geometric nonstandard proof of the Jordan curve theorem. Geometriae Dedicata 51: 14–27
4. Brown, D.K.: Functional Analysis in Weak Subsystems of Second Order Arithmetic, Ph.D. Thesis, The Pennsylvania State University (1987)
5. Friedman H. (1976). Systems of second order arithmetic with restricted induction, I, II. J. Symb. Logic 41: 557–559
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