Poincaré conjecture (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Poincaré conjecture" in English language version.

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10doi.org

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8arxiv.org

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ahdictionary.com

"Poincaré". The American Heritage Dictionary of the English Language (5th ed.). HarperCollins. Retrieved 9 August 2019.

ams.org

mathscinet.ams.org

Riemann, Bernhard (1851). Grundlagen für eine allgemeine Theorie der Functionen (Thesis). University of Göttingen. English translation: Riemann, Bernhard (2004). "Foundations for a general theory of functions of a complex variable". Collected Papers: Bernhard Riemann. Translated by Baker, Roger; Christenson, Charles; Orde, Henry. Heber City, UT: Kendrick Press. pp. 1–41. ISBN 0-9740427-2-2. MR 2121437. Zbl 1101.01013.
Poincaré, Henri (2010). Papers on Topology: Analysis Situs and Its Five Supplements. History of Mathematics. Vol. 37. Translated by Stillwell, John. American Mathematical Society and London Mathematical Society. doi:10.1090/hmath/037. ISBN 978-0-8218-5234-7. MR 2723194. Zbl 1204.55002.
Gray, Jeremy (2013). Henri Poincaré: A Scientific Biography. Princeton, NJ: Princeton University Press. ISBN 978-0-691-15271-4. JSTOR j.ctt1r2fwt. MR 2986502. Zbl 1263.01002.
Poincaré, H. (1900). "Second complément à l'analysis situs". Proceedings of the London Mathematical Society. 32 (1): 277–308. doi:10.1112/plms/s1-32.1.277. JFM 31.0477.10. MR 1576227.
Dieudonné, Jean (1989). A History of Algebraic and Differential Topology, 1900–1960. Boston, MA: Birkhäuser Boston, Inc. doi:10.1007/978-0-8176-4907-4. ISBN 0-8176-3388-X. MR 0995842. Zbl 0673.55002.
Hamilton, Richard (1982). "Three-manifolds with positive Ricci curvature". Journal of Differential Geometry. 17 (2): 255–306. doi:10.4310/jdg/1214436922. MR 0664497. Zbl 0504.53034. Reprinted in: Cao, H. D.; Chow, B.; Chu, S. C.; Yau, S.-T., eds. (2003). Collected Papers on Ricci Flow. Series in Geometry and Topology. Vol. 37. Somerville, MA: International Press. pp. 119–162. ISBN 1-57146-110-8.

arxiv.org

M., Halverson, Denise; Dušan, Repovš (23 December 2008). "The Bing–Borsuk and the Busemann conjectures". Mathematical Communications. 13 (2). arXiv:0811.0886.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Perelman, Grigori (2002). "The entropy formula for the Ricci flow and its geometric applications". arXiv:math.DG/0211159.
Perelman, Grigori (2003). "Ricci flow with surgery on three-manifolds". arXiv:math.DG/0303109.
Perelman, Grigori (2003). "Finite extinction time for the solutions to the Ricci flow on certain three-manifolds". arXiv:math.DG/0307245.
Kleiner, Bruce; John W. Lott (2008). "Notes on Perelman's Papers". Geometry and Topology. 12 (5): 2587–2855. arXiv:math.DG/0605667. doi:10.2140/gt.2008.12.2587. S2CID 119133773.
Cao, Huai-Dong & Zhu, Xi-Ping (December 3, 2006). "Hamilton–Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture". arXiv:math.DG/0612069.
Morgan, John; Gang Tian (2006). "Ricci Flow and the Poincaré Conjecture". arXiv:math.DG/0607607.
Morgan, John; Tian, Gang (2015). "Correction to Section 19.2 of Ricci Flow and the Poincare Conjecture". arXiv:1512.00699 [math.DG].

bnf.fr

gallica.bnf.fr

Poincaré, H. (1892). "Sur l'Analysis situs". Comptes Rendus des Séances de l'Académie des Sciences. JFM 24.0506.02.
Poincaré, H. (1895). "Analysis situs". Journal de l'École Polytechnique. 2e Série. 1: 1–121. JFM 26.0541.07.

books.google.com

Matveev, Sergei (2007). "1.3.4 Zeeman's Collapsing Conjecture". Algorithmic Topology and Classification of 3-Manifolds. Algorithms and Computation in Mathematics. Vol. 9. Springer. pp. 46–58. ISBN 978-3540458999.

boston.com

Ritter, Malcolm (1 July 2010). "Russian mathematician rejects million prize". The Boston Globe.

claymath.org

"Prize for Resolution of the Poincaré Conjecture Awarded to Dr. Grigoriy Perelman" (Press release). Clay Mathematics Institute. March 18, 2010. Archived from the original (PDF) on March 22, 2010. Retrieved November 13, 2015. The Clay Mathematics Institute (CMI) announces today that Dr. Grigoriy Perelman of St. Petersburg, Russia, is the recipient of the Millennium Prize for resolution of the Poincaré conjecture.
"Prize for Resolution of the Poincaré Conjecture Awarded to Dr. Grigoriy Perelman". Clay Mathematics Institute. March 18, 2010. Archived from the original on 2010-03-22.
"Poincaré Conjecture". Clay Mathematics Institute. Retrieved 2018-10-04.

doi.org

Mackenzie, Dana (2006-12-22). "The Poincaré Conjecture – Proved". Science. 314 (5807): 1848–1849. doi:10.1126/science.314.5807.1848. PMID 17185565. S2CID 121869167.
Betti, Enrico (1870). "Sopra gli spazi di un numero qualunque di dimensioni". Annali di Matematica Pura ed Applicata. 4: 140–158. doi:10.1007/BF02420029. JFM 03.0301.01.
Poincaré, Henri (2010). Papers on Topology: Analysis Situs and Its Five Supplements. History of Mathematics. Vol. 37. Translated by Stillwell, John. American Mathematical Society and London Mathematical Society. doi:10.1090/hmath/037. ISBN 978-0-8218-5234-7. MR 2723194. Zbl 1204.55002.
Poincaré, H. (1900). "Second complément à l'analysis situs". Proceedings of the London Mathematical Society. 32 (1): 277–308. doi:10.1112/plms/s1-32.1.277. JFM 31.0477.10. MR 1576227.
Poincaré, H. (1904). "Cinquième complément à l'analysis situs". Rendiconti del Circolo Matematico di Palermo. 18: 45–110. doi:10.1007/bf03014091. JFM 35.0504.13.
Dieudonné, Jean (1989). A History of Algebraic and Differential Topology, 1900–1960. Boston, MA: Birkhäuser Boston, Inc. doi:10.1007/978-0-8176-4907-4. ISBN 0-8176-3388-X. MR 0995842. Zbl 0673.55002.
Bing, R. H. (1958). "Necessary and sufficient conditions that a 3-manifold be S³". Annals of Mathematics. Second Series. 68 (1): 17–37. doi:10.2307/1970041. JSTOR 1970041.
Hamilton, Richard (1982). "Three-manifolds with positive Ricci curvature". Journal of Differential Geometry. 17 (2): 255–306. doi:10.4310/jdg/1214436922. MR 0664497. Zbl 0504.53034. Reprinted in: Cao, H. D.; Chow, B.; Chu, S. C.; Yau, S.-T., eds. (2003). Collected Papers on Ricci Flow. Series in Geometry and Topology. Vol. 37. Somerville, MA: International Press. pp. 119–162. ISBN 1-57146-110-8.
Kleiner, Bruce; John W. Lott (2008). "Notes on Perelman's Papers". Geometry and Topology. 12 (5): 2587–2855. arXiv:math.DG/0605667. doi:10.2140/gt.2008.12.2587. S2CID 119133773.
O'Shea, Donal (2018). "The Surprising Resolution of the Poincaré Conjecture". The Surprising Resolution of the Poincaré Conjecture. In: Rowe, D., Sauer, T., Walter, S. (eds) Beyond Einstein. Einstein Studies. Vol. 14. New York, NY: Birkhäuser. pp. 401–415. doi:10.1007/978-1-4939-7708-6_13. ISBN 978-1-4939-7708-6.

interfax.ru

"Последнее 'нет' доктора Перельмана" [The last "no" Dr. Perelman]. Interfax (in Russian). July 1, 2010. Retrieved 5 April 2016. Google Translated archived link at [1] (archived 2014-04-20)

intlpress.com

Cao, Huai-Dong; Xi-Ping Zhu (June 2006). "A Complete Proof of the Poincaré and Geometrization Conjectures – application of the Hamilton-Perelman theory of the Ricci flow" (PDF). Asian Journal of Mathematics. 10 (2). Archived from the original (PDF) on 2012-05-14.

jstor.org

Gray, Jeremy (2013). Henri Poincaré: A Scientific Biography. Princeton, NJ: Princeton University Press. ISBN 978-0-691-15271-4. JSTOR j.ctt1r2fwt. MR 2986502. Zbl 1263.01002.
Bing, R. H. (1958). "Necessary and sufficient conditions that a 3-manifold be S³". Annals of Mathematics. Second Series. 68 (1): 17–37. doi:10.2307/1970041. JSTOR 1970041.

lexico.com

"Poincaré, Jules-Henri". Lexico UK English Dictionary. Oxford University Press. Archived from the original on 2022-09-02.

merriam-webster.com

"Poincaré". Merriam-Webster.com Dictionary. Merriam-Webster. Retrieved 9 August 2019.

newscientist.com

Matthews, Robert (9 April 2002). "$1 million mathematical mystery "solved"". NewScientist.com. Retrieved 2007-05-05.

newyorker.com

Nasar, Sylvia; David Gruber (August 28, 2006). "Manifold destiny". The New Yorker. pp. 44–57. On-line version at the New Yorker website.

nih.gov

pubmed.ncbi.nlm.nih.gov

Mackenzie, Dana (2006-12-22). "The Poincaré Conjecture – Proved". Science. 314 (5807): 1848–1849. doi:10.1126/science.314.5807.1848. PMID 17185565. S2CID 121869167.

nytimes.com

Chang, Kenneth (August 22, 2006). "Highest Honor in Mathematics Is Refused". The New York Times.

phys.org

Malcolm Ritter (2010-07-01). "Russian mathematician rejects $1 million prize". Phys.Org. Retrieved 2011-05-15.

semanticscholar.org

api.semanticscholar.org

Mackenzie, Dana (2006-12-22). "The Poincaré Conjecture – Proved". Science. 314 (5807): 1848–1849. doi:10.1126/science.314.5807.1848. PMID 17185565. S2CID 121869167.
Kleiner, Bruce; John W. Lott (2008). "Notes on Perelman's Papers". Geometry and Topology. 12 (5): 2587–2855. arXiv:math.DG/0605667. doi:10.2140/gt.2008.12.2587. S2CID 119133773.

srce.hr

hrcak.srce.hr

M., Halverson, Denise; Dušan, Repovš (23 December 2008). "The Bing–Borsuk and the Busemann conjectures". Mathematical Communications. 13 (2). arXiv:0811.0886.{{cite journal}}: CS1 maint: multiple names: authors list (link)

sunysb.edu

math.sunysb.edu

Milnor, John (2004). "The Poincaré Conjecture 99 Years Later: A Progress Report" (PDF). Retrieved 2007-05-05.

translate.google.com

"Последнее 'нет' доктора Перельмана" [The last "no" Dr. Perelman]. Interfax (in Russian). July 1, 2010. Retrieved 5 April 2016. Google Translated archived link at [1] (archived 2014-04-20)

web.archive.org

"Poincaré, Jules-Henri". Lexico UK English Dictionary. Oxford University Press. Archived from the original on 2022-09-02.
"Prize for Resolution of the Poincaré Conjecture Awarded to Dr. Grigoriy Perelman" (Press release). Clay Mathematics Institute. March 18, 2010. Archived from the original (PDF) on March 22, 2010. Retrieved November 13, 2015. The Clay Mathematics Institute (CMI) announces today that Dr. Grigoriy Perelman of St. Petersburg, Russia, is the recipient of the Millennium Prize for resolution of the Poincaré conjecture.
Cao, Huai-Dong; Xi-Ping Zhu (June 2006). "A Complete Proof of the Poincaré and Geometrization Conjectures – application of the Hamilton-Perelman theory of the Ricci flow" (PDF). Asian Journal of Mathematics. 10 (2). Archived from the original (PDF) on 2012-05-14.
"Prize for Resolution of the Poincaré Conjecture Awarded to Dr. Grigoriy Perelman". Clay Mathematics Institute. March 18, 2010. Archived from the original on 2010-03-22.

zbmath.org

Riemann, Bernhard (1851). Grundlagen für eine allgemeine Theorie der Functionen (Thesis). University of Göttingen. English translation: Riemann, Bernhard (2004). "Foundations for a general theory of functions of a complex variable". Collected Papers: Bernhard Riemann. Translated by Baker, Roger; Christenson, Charles; Orde, Henry. Heber City, UT: Kendrick Press. pp. 1–41. ISBN 0-9740427-2-2. MR 2121437. Zbl 1101.01013.
Betti, Enrico (1870). "Sopra gli spazi di un numero qualunque di dimensioni". Annali di Matematica Pura ed Applicata. 4: 140–158. doi:10.1007/BF02420029. JFM 03.0301.01.
Poincaré, H. (1892). "Sur l'Analysis situs". Comptes Rendus des Séances de l'Académie des Sciences. JFM 24.0506.02.
Poincaré, H. (1895). "Analysis situs". Journal de l'École Polytechnique. 2e Série. 1: 1–121. JFM 26.0541.07.
Poincaré, Henri (2010). Papers on Topology: Analysis Situs and Its Five Supplements. History of Mathematics. Vol. 37. Translated by Stillwell, John. American Mathematical Society and London Mathematical Society. doi:10.1090/hmath/037. ISBN 978-0-8218-5234-7. MR 2723194. Zbl 1204.55002.
Gray, Jeremy (2013). Henri Poincaré: A Scientific Biography. Princeton, NJ: Princeton University Press. ISBN 978-0-691-15271-4. JSTOR j.ctt1r2fwt. MR 2986502. Zbl 1263.01002.
Poincaré, H. (1900). "Second complément à l'analysis situs". Proceedings of the London Mathematical Society. 32 (1): 277–308. doi:10.1112/plms/s1-32.1.277. JFM 31.0477.10. MR 1576227.
Poincaré, H. (1904). "Cinquième complément à l'analysis situs". Rendiconti del Circolo Matematico di Palermo. 18: 45–110. doi:10.1007/bf03014091. JFM 35.0504.13.
Dieudonné, Jean (1989). A History of Algebraic and Differential Topology, 1900–1960. Boston, MA: Birkhäuser Boston, Inc. doi:10.1007/978-0-8176-4907-4. ISBN 0-8176-3388-X. MR 0995842. Zbl 0673.55002.
Hamilton, Richard (1982). "Three-manifolds with positive Ricci curvature". Journal of Differential Geometry. 17 (2): 255–306. doi:10.4310/jdg/1214436922. MR 0664497. Zbl 0504.53034. Reprinted in: Cao, H. D.; Chow, B.; Chu, S. C.; Yau, S.-T., eds. (2003). Collected Papers on Ricci Flow. Series in Geometry and Topology. Vol. 37. Somerville, MA: International Press. pp. 119–162. ISBN 1-57146-110-8.

zenodo.org

Poincaré, H. (1900). "Second complément à l'analysis situs". Proceedings of the London Mathematical Society. 32 (1): 277–308. doi:10.1112/plms/s1-32.1.277. JFM 31.0477.10. MR 1576227.
Poincaré, H. (1904). "Cinquième complément à l'analysis situs". Rendiconti del Circolo Matematico di Palermo. 18: 45–110. doi:10.1007/bf03014091. JFM 35.0504.13.