An elementary geometric nonstandard proof of the Jordan curve theorem

DOI10.1007/BF01264098zbMath0807.54035OpenAlexW1973516938MaRDI QIDQ1336207

Néstor Bertoglio, Rolando B. Chuaqui

Publication date: 26 February 1995

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01264098

zbMATH Keywords

Jordan curve theoremmicrocontinuity\(S\)-continuity

Mathematics Subject Classification ID

Related Items (3)

A Jordan-Brouwer separation theorem for polyhedral pseudomanifolds ⋮ The Jordan curve theorem and the Schönflies theorem in weak second-order arithmetic ⋮ On the polygonal diameter (= link diameter) of the interior, resp. exterior, of a simple closed polygon in the plane

Cites Work

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• Two Discrete Forms of the Jordan Curve Theorem
• Radically Elementary Probability Theory. (AM-117)
• A nonstandard proof of the Jordan curve theorem

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