6 de Marzo, 2013

Publicado el 6 de Marzo, 2013, 13:33

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