# Angel "Java" Lopez en Blog

### Publicado el 25 de Agosto, 2012, 11:26

 Siguiente Post Luego de teoría de grupos, topología debe haber sido el primer tema "serio" que encontré en mi estudio de las matemáticas. Llegué a ella seguramente en los ochenta, y a la rama de topología general primero, y topología algebraica después. Estoy escribiendo sobre la primera en mi serie de posts. Leo en la Wikipedia: http://en.wikipedia.org/wiki/Topology Topology (from the Greek τόπος, "place", and λόγος, "study") is a major area of mathematicsconcerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing, although the notion of stretching employed in mathematics is not quite the everyday notion: see below and the definition of homeomorphism for details of the mathematical notion. Topology emerged through the development of concepts fromgeometry and set theory, such as space, dimension, and transformation. Ideas that are now classified as topological were expressed as early as 1736. Toward the end of the 19th century, a distinct discipline developed, which was referred to in Latin as the geometria situs("geometry of place") or analysis situs (Greek-Latin for "picking apart of place"). This later acquired the modern name of topology. By the middle of the 20th century, topology had become an important area of study within mathematics. Vengo hoy esta primera entrega de enlaces: Fürstenberg's proof of the infinitude of primeshttp://en.wikipedia.org/wiki/F%C3%BCrstenberg%27s_proof_of_the_infinitude_of_primesOn Furstenberg"s Proof of the Infinitude of Primeshttp://www.idmercer.com/monthly355-356-mercer.pdf The Birkhoff-Kakutani theoremhttp://terrytao.wordpress.com/2011/05/17/the-birkhoff-kakutani-theorem/ Physics - Weyl electrons kisshttp://physics.aps.org/articles/v4/36Topology, the mathematical description of the robustness of form, appears throughout physics, and provides strong constraints on many physical systems. Milnor wins 2011 Abel Prize « Gowers's Webloghttp://gowers.wordpress.com/2011/03/23/milnor-wins-2011-abel-prize/ YouTube - Cutting a Bagelhttp://www.youtube.com/watch?v=hYXnZ8-ux80 Mathematically Correct Breakfast -- Mobius Sliced Linked Bagelhttp://georgehart.com/bagel/bagel.html Manifolds « The Unapologetic Mathematicianhttp://unapologetic.wordpress.com/2011/02/22/manifolds/ Actualización de Entanglement, juego de cuerdas y nudos | Gaussianoshttp://gaussianos.com/actualizacion-de-entanglement-juego-de-cuerdas-y-nudos/ Nathaniel Johnston » The Maximum Score in the Game "Entanglement" is 9080http://www.nathanieljohnston.com/2011/01/the-maximum-score-in-the-game-entanglement-is-9080/ El Topo Lógico: El Omegón y todo eso... (Parte 18)http://eltopologico.blogspot.com/2011/01/el-omegon-y-todo-eso-parte-18.html Los topólogos predicen una nueva forma de la materiahttp://www.cienciakanija.com/2011/01/03/los-topologos-predicen-una-nueva-forma-de-la-materia Doodling in Math Classhttp://golem.ph.utexas.edu/category/2010/12/doodling_in_math_class.html Topology and Electromagnetismhttp://www.emph.com.ua/18/pdf/barrett.pdf I Hate Math! (Not After This, You Won't) : Krulwich Wonders… : NPRhttp://www.npr.org/blogs/krulwich/2010/12/16/132050207/this-is-for-the-i-hate-math-crowd-not-after-this-you-won-t?ps=cprs Physics of a Parallel Universe "Exerting a Ghostly Grip on Our Universe"http://www.dailygalaxy.com/my_weblog/2010/12/news-flash-new-form-of-matter-exerting-a-ghostly-grip-on-our-universe.html Hilorama de E8 « Juegos topológicoshttp://topologia.wordpress.com/2010/10/10/e8-con-hilo-tensado/ A Concise Course in Algebraic Topologyhttp://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf Mike on Topological Quantum Computing, at Georgiahttp://sbseminar.wordpress.com/2009/05/18/mike-on-topological-quantum-computing-at-georgia/ Icosien | GEEKY juegoshttp://geekyjuegos.com.ar/2010/06/icosien/ Motive-ating the Weil Conjecture Proofhttp://sbseminar.wordpress.com/2010/06/10/motive-ating-the-weil-conjecture-proof/Algebraic topology, cohomology theories, and my idol, Grothendieck"Leverage the level of abstraction" with steroids ;-)Inside Grothendieck mind:http://www.jmilne.org/math/xnotes/mot.html Mathematical Problem Solved After More Than 50 Years: Chern Numbers Of Algebraic Varietieshttp://www.sciencedaily.com/releases/2009/06/090610124858.htm Poincaré Projecthttp://jtauber.com/poincare_project/Working through the mathematics required to understand the Poincaré Conjecture and the possible solution recently proposed. The Poincaré Conjecturehttp://www.claymath.org/poincare/ on Topologyhttp://ontopo.wordpress.com/ What is computational topology ?http://geomblog.blogspot.com/2009/11/what-is-computational-topology.html Nonstandard analogues of energy and density increment argumentshttp://terrytao.wordpress.com/2009/11/16/nonstandard-analogues-of-energy-and-density-increment-arguments/ Convexity Using Metric Balls « on Topologyhttp://ontopo.wordpress.com/2009/03/23/convexity-using-metric-balls/ The Topology of Higher-Dimensional Real Spaces « The Unapologetic Mathematicianhttp://unapologetic.wordpress.com/2009/09/15/the-topology-of-higher-dimensional-real-spaces/ Solution of the Poincaré conjecturehttp://en.wikipedia.org/wiki/Hamilton%E2%80%93Perelman_solution_of_the_Poincar%C3%A9_conjecture Open problems in algebraic topologyhttp://claude.math.wesleyan.edu/~mhovey/problems/index.html Algebraic Topology and Distributed Computinghttp://www.cs.brown.edu/~mph/topology.html Mis posts:Topología, Física y Solzhenitsynhttp://ajlopez.zoomblog.com/archivo/2011/04/15/topologia-Fisica-y-Solzhenitsyn.htmlMotivado por este fragmento: http://www.maths.ed.ac.uk/~aar/surgery/first.pdfVean que Solzhenitsyn estaba equivocado: la topología en física es hoy un tópico "caliente" en ciencia.Poincaré y la topologíahttp://ajlopez.zoomblog.com/archivo/2007/02/01/poincare-y-la-topologia.htmlFelix Hausdorff por Laurence Younghttp://ajlopez.zoomblog.com/archivo/2011/05/05/felix-Hausdorff-por-Laurence-Young.htmlAbstracción y Definición en Matemáticashttp://ajlopez.zoomblog.com/archivo/2011/05/02/abstraccion-y-Definicion-en-Matematica.html Nos leemos! Angel "Java" Lopezhttp://www.ajlopez.comhttp://twitter.com/ajlopez