Angel "Java" Lopez en Blog

25 de Agosto, 2012

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:

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 primes
On Furstenberg"s Proof of the Infinitude of Primes

The Birkhoff-Kakutani theorem

Physics - Weyl electrons kiss
Topology, 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 Weblog

YouTube - Cutting a Bagel

Mathematically Correct Breakfast -- Mobius Sliced Linked Bagel

Manifolds « The Unapologetic Mathematician

Actualización de Entanglement, juego de cuerdas y nudos | Gaussianos

Nathaniel Johnston » The Maximum Score in the Game "Entanglement" is 9080

El Topo Lógico: El Omegón y todo eso... (Parte 18)

Los topólogos predicen una nueva forma de la materia

Doodling in Math Class

Topology and Electromagnetism

I Hate Math! (Not After This, You Won't) : Krulwich Wonders… : NPR

Physics of a Parallel Universe "Exerting a Ghostly Grip on Our Universe"

Hilorama de E8 « Juegos topológicos

A Concise Course in Algebraic Topology

Mike on Topological Quantum Computing, at Georgia

Icosien | GEEKY juegos

Motive-ating the Weil Conjecture Proof
Algebraic topology, cohomology theories, and my idol, Grothendieck
"Leverage the level of abstraction" with steroids ;-)
Inside Grothendieck mind:

Mathematical Problem Solved After More Than 50 Years: Chern Numbers Of Algebraic Varieties

Poincaré Project
Working through the mathematics required to understand the Poincaré Conjecture and the possible solution recently proposed.

The Poincaré Conjecture

on Topology

What is computational topology ?

Nonstandard analogues of energy and density increment arguments

Convexity Using Metric Balls « on Topology

The Topology of Higher-Dimensional Real Spaces « The Unapologetic Mathematician

Solution of the Poincaré conjecture

Open problems in algebraic topology

Algebraic Topology and Distributed Computing
Mis posts:
Topología, Física y Solzhenitsyn
Motivado por este fragmento:
Vean que Solzhenitsyn estaba equivocado: la topología en física es hoy un tópico "caliente" en ciencia.
Poincaré y la topología
Felix Hausdorff por Laurence Young
Abstracción y Definición en Matemáticas

Nos leemos!

Angel "Java" Lopez