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Jordan curve theorem
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== References == *{{Citation | doi=10.1216/RMJ-1975-5-2-225 | last1=Berg | first1=Gordon O. | last2=Julian | first2=W. | last3=Mines | first3=R. | last4=Richman | first4=Fred | title=The constructive Jordan curve theorem | mr=0410701 | year=1975 | journal=[[Rocky Mountain Journal of Mathematics]] | issn=0035-7596 | volume=5 | issue=2 | pages=225–236| doi-access=free }} *{{Cite book|last=Courant|first=Richard|title=[[What Is Mathematics?|What is mathematics? : an elementary approach to ideas and methods]]|date=1978|publisher=Oxford University Press|others=Herbert Robbins|isbn=978-0-19-502517-0|edition=[4th ed.]|location=Oxford|publication-place=United Kingdom|pages=267|chapter=V. Topology|oclc=6450129}} *{{Citation | last=Filippov | first= A. F. | author-link=Aleksei Fedorovich Filippov | year=1950 | title=An elementary proof of Jordan's theorem | url=http://www.mathnet.ru/links/9bd143c40db8f868858992d40913c648/rm8482.pdf | journal=Uspekhi Mat. Nauk | language=ru | volume=5 | number=5 | pages=173–176}} *{{Citation | last1=Hales | first1=Thomas C. | author1-link=Thomas Callister Hales | title=The Jordan curve theorem, formally and informally | mr=2363054 | year=2007a | journal=[[American Mathematical Monthly|The American Mathematical Monthly]] | issn=0002-9890 | volume=114 | issue=10 | pages=882–894| doi=10.1080/00029890.2007.11920481 | s2cid=887392 }} *{{Citation | last1=Hales | first1=Thomas | author1-link=Thomas Callister Hales | title=Jordan's proof of the Jordan Curve theorem | url=http://mizar.org/trybulec65/4.pdf | year=2007b | journal=Studies in Logic, Grammar and Rhetoric | volume=10 | issue=23}} *{{Citation | last1=Jordan | first1=Camille | author1-link=Camille Jordan |title= Cours d'analyse | url=http://www.maths.ed.ac.uk/~aar/jordan/jordan.pdf | year=1887|pages=587–594}} *{{Citation | doi=10.2307/2323369 | last1=Maehara | first1=Ryuji | title=The Jordan Curve Theorem Via the Brouwer Fixed Point Theorem | mr=0769530 | year=1984 | journal=[[American Mathematical Monthly|The American Mathematical Monthly]] | issn=0002-9890 | volume=91 | issue=10 | pages=641–643 | jstor=2323369}} *{{Citation | last1=Narens | first1=Louis | title=A nonstandard proof of the Jordan curve theorem | url=http://projecteuclid.org/euclid.pjm/1102971282 | mr=0276940 | year=1971 | journal=[[Pacific Journal of Mathematics]] | issn=0030-8730 | volume=36 | pages=219–229 | doi=10.2140/pjm.1971.36.219| doi-access=free }} *{{Citation | last1=Osgood | first1=William F. | title=A Jordan Curve of Positive Area | jstor=1986455 | jfm=34.0533.02 | year=1903 | journal=[[Transactions of the American Mathematical Society]] | issn=0002-9947 | volume=4 | issue=1 | pages=107–112 | doi=10.2307/1986455| doi-access=free }} *{{Citation | last1=Ross | first1=Fiona | last2=Ross | first2=William T. | year=2011 | title=The Jordan curve theorem is non-trivial | journal=[[Journal of Mathematics and the Arts]] | volume=5 | issue=4 | pages=213–219 | doi=10.1080/17513472.2011.634320| s2cid=3257011 }}. [https://facultystaff.richmond.edu/~wross/PDF/Jordan-revised.pdf author's site] *{{Citation | last1=Sakamoto | first1=Nobuyuki | last2=Yokoyama | first2=Keita | title=The Jordan curve theorem and the Schönflies theorem in weak second-order arithmetic | doi=10.1007/s00153-007-0050-6 | mr=2321588 | year=2007 | journal=Archive for Mathematical Logic | issn=0933-5846 | volume=46 | issue=5 | pages=465–480| s2cid=33627222 }} *{{Citation | doi=10.2307/2324180 | last=Thomassen | first=Carsten | author-link=Carsten Thomassen (mathematician) | title=The Jordan–Schönflies theorem and the classification of surfaces |year=1992 | journal=American Mathematical Monthly | volume=99 | issue=2 | pages=116–130 | jstor=2324180}} *{{Citation | last= Tverberg |first= Helge |author-link= Helge Tverberg |year= 1980 |title= A proof of the Jordan curve theorem |url= http://www.maths.ed.ac.uk/~aar/jordan/tverberg.pdf |journal= [[Bulletin of the London Mathematical Society]] |volume= 12 |number= 1 |pages= 34–38 |doi= 10.1112/blms/12.1.34 |citeseerx= 10.1.1.374.2903 }} * {{Citation | last1=Veblen | first1=Oswald | author1-link=Oswald Veblen | title=Theory on Plane Curves in Non-Metrical Analysis Situs | jstor=1986378 | year=1905 | journal=[[Transactions of the American Mathematical Society]] | volume=6 | issue=1 | pages=83–98 | mr=1500697 | doi=10.2307/1986378| doi-access=free }}
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