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- Francisco Javier González-Acuña (nickname "Fico") is a mathematician in the UNAM's institute of mathematics and CIMAT, specializing in low-dimensional topology. He did his graduate studies at Princeton University, obtaining his Ph.D. in 1970. His thesis, written under the supervision of Ralph Fox, was titled On homology spheres. An early result of González-Acuña is that a group G is the homomorphic image of some knot group if and only if G is finitely generated and has weight at most one. This result (a "remarkable theorem", as called it in his review),was published in 1975 in the highly respected journal, Annals of Mathematics. In 1978, together with José María Montesinos, he answered a question posed by Fox, proving the existence of 2-knots whose groups have infinitely many ends. With Hamish Short, González-Acuña proposed and worked on the : the only knots in the 3-sphere which admit a reducible Dehn surgery, i.e. a surgery which results in a reducible 3-manifold, are the cable knots. This conjecture is one of the most relevant, unresolved questions in the theory of Dehn surgery on knots in the 3-sphere. González-Acuña has made other significant contributions, which have been published in journals such as Transactions of the American Mathematical Society, Topology and Mathematical Proceedings of the Cambridge Philosophical Society. (en)
- Francisco Javier González Acuña, también conocido como "Fico" es un matemático mexicano del Instituto de Matemáticas de la UNAM y en el CIMAT de Guanajuato, especialista en la topología de dimensiones bajas cuyas contribuciones han aparecido en el Ann. of Math. Junto con [1] ha resuelto algunas cuestiones planteadas por Ralph Fox acerca de la existencia de (del inglés ends) infinitas de grupos fundamentales de 2-nudos. Para una semblanza dirijase a [2]. (es)
- Francisco Javier González-Acuña (surnom "Fico") est un mathématicien de l'institut de mathématiques de l'université nationale autonome du Mexique (UNAM) et du Centro de Investigación en Matemáticas (CIMAT), spécialisé dans la topologie en basses dimensions. (fr)
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- Francisco Javier González Acuña, también conocido como "Fico" es un matemático mexicano del Instituto de Matemáticas de la UNAM y en el CIMAT de Guanajuato, especialista en la topología de dimensiones bajas cuyas contribuciones han aparecido en el Ann. of Math. Junto con [1] ha resuelto algunas cuestiones planteadas por Ralph Fox acerca de la existencia de (del inglés ends) infinitas de grupos fundamentales de 2-nudos. Para una semblanza dirijase a [2]. (es)
- Francisco Javier González-Acuña (surnom "Fico") est un mathématicien de l'institut de mathématiques de l'université nationale autonome du Mexique (UNAM) et du Centro de Investigación en Matemáticas (CIMAT), spécialisé dans la topologie en basses dimensions. (fr)
- Francisco Javier González-Acuña (nickname "Fico") is a mathematician in the UNAM's institute of mathematics and CIMAT, specializing in low-dimensional topology. He did his graduate studies at Princeton University, obtaining his Ph.D. in 1970. His thesis, written under the supervision of Ralph Fox, was titled On homology spheres. González-Acuña has made other significant contributions, which have been published in journals such as Transactions of the American Mathematical Society, Topology and Mathematical Proceedings of the Cambridge Philosophical Society. (en)
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- Francisco Javier González Acuña (es)
- Francisco Javier González-Acuña (en)
- Francisco Javier González-Acuña (fr)
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