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000079509 041__ $$aeng
000079509 100__ $$0(orcid)0000-0003-3618-3657$$aLozano Imizcoz, María Teresa$$uUniversidad de Zaragoza
000079509 245__ $$aThe Poincaré conjecture: a problem solved after a century of new ideas and continued work
000079509 260__ $$c2018
000079509 5060_ $$aAccess copy available to the general public$$fUnrestricted
000079509 5203_ $$aThe Poincaré conjecture is a topological problem established in 1904 by the French mathematician Henri Poincaré. It characterises three-dimensional spheres in a very simple way. It uses only the first invariant of algebraic topology – the fundamental group – which was also defined and studied by Poincaré. The conjecture implies that if a space does not have essential holes, then it is a sphere. This problem was directly solved between 2002 and 2003 by Grigori Perelman, and as a consequence of his demonstration of the Thurston geometrisation conjecture, which culminated in the path proposed by Richard Hamilton.
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000079509 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000079509 773__ $$g8 (2018), 83-91$$pMètode (Valencia)$$tMètode (Valencia)$$x1133-3987
000079509 8564_ $$s4180846$$uhttps://zaguan.unizar.es/record/79509/files/texto_completo.pdf$$yVersión publicada
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000079509 951__ $$a2019-07-02-08:15:00
000079509 980__ $$aARTICLE