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Si, ya saben, me gustan las matemáticas. Topología es un tema amplio, conteniendo tanto abstracción como aplicaciones (notablemente, en la física moderna). Más enlaces del tema
What does symplecticity imply? http://physics.stackexchange.com/questions/32738/what-does-symplecticity-imply
Symmetry and the Fourth Dimension (Part 4) http://johncarlosbaez.wordpress.com/2012/07/26/symmetry-and-the-fourth-dimension-part-4/
Mathematically Correct Breakfast http://www.youtube.com/watch?v=dN8AwGUaqDA&feature=youtu.be How to slice a bagel into two congruent, linked halves. Thom spaces http://blog.konradvoelkel.de/2012/06/thom-spaces/
SnapPy http://www.math.uic.edu/t3m/SnapPy/ SnapPy is a program for studying the topology and geometry of 3-manifolds, with a focus on hyperbolic structures.
Are there examples of non-orientable manifolds in nature? http://mathoverflow.net/questions/45832/are-there-examples-of-non-orientable-manifolds-in-nature
Unknotting knot theory http://www.sciencenews.org/view/generic/id/38237/title/Unknotting_knot_theory
Spaces and questions http://www.ihes.fr/~gromov/topics/SpacesandQuestions.pdf
Una demostración de Milnor del teorema de la bola peluda http://gaussianos.com/una-demostracion-de-milnor-del-teorema-de-la-bola-peluda/ El maravilloso teorema de la Bola Peluda, es un resultado que se suele ilustrar diciendo que es imposible peinar una bola que esté completamente cubierta de pelo.
Lebesgue number lemma and a corollary http://mathblather.blogspot.com.ar/2011/07/lebesgue-number-lemma-and-corollary.html In Topology (second edition) by James R. Munkres, we have on pp175-6 a somewhat lengthy proof for the Lebesgue number lemma. Here I provide a quicker and more natural approach.
Harold Calvin Marston Morse http://www-history.mcs.st-and.ac.uk/Biographies/Morse.html
Functional analysis http://en.wikipedia.org/wiki/Functional_analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense.
EULER Y EL UNIVERSO MATEMATICO 2/3 http://www.youtube.com/watch?v=BJYit2ta8lM&feature=related BARCODES: THE PERSISTENT TOPOLOGY OF DATA http://www.math.upenn.edu/~ghrist/preprints/barcodes.pdf Topología del universo (póster premiado por Science) http://amazings.es/2012/02/12/topologia-del-universo-poster-premiado-por-science/
Henri Poincaré http://eltamiz.com/2012/01/19/henri-poincare/
Graph theory and network science http://thinkaurelius.com/2012/01/10/graph-theory-and-network-science/
Generalizations of open books http://ldtopology.wordpress.com/2012/08/15/generalizations-of-open-books/
A counterexample to the Hirsch conjecture http://arxiv.org/abs/1006.2814
Knot Theory for Young Kids http://www.moebiusnoodles.com/2012/08/knot-theory-for-young-kids/ High-dimensional knot theory http://www.maths.ed.ac.uk/~aar/books/knot.pdf
El Omegón y todo eso... (Parte 19) http://eltopologico.blogspot.com.ar/2011/12/el-omegon-y-todo-eso-parte-19.html
El teorema clausura-complemento de Kuratowski http://gaussianos.com/el-teorema-clausura-complemento-de-kuratowski
A Family of Nontrivial Homology Classes (part 3) http://unapologetic.wordpress.com/2011/12/27/a-family-of-nontrivial-homology-classes-part-3/
The "Hairy Ball Theorem" http://unapologetic.wordpress.com/2011/12/13/the-hairy-ball-theorem/ Poincaré conjecture http://en.wikipedia.org/wiki/Poincar%C3%A9_conjecture
Vicente Muñoz nos habla de Geometría y Topología con Planito y la forma del Universo http://gaussianos.com/vicente-munoz-nos-habla-de-geometria-y-topologia-con-planito-y-la-forma-del-universo/
Topology by Sidney Morris http://uob-community.ballarat.edu.au/~smorris/topology.htm Mind the map http://seispalabras-clara.blogspot.com.ar/2011/09/mind-map.html La historia del mapa del metro de Londres Mis Enlaces http://delicious.com/ajlopez/topology
Nos leemos!
Angel "Java" Lopez http://www.ajlopez.com http://twitter.com/ajlopez
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