9c6c8fc5bd-p-07.pdf - CAPITULO 1 TOPOLOGIA BASICA 2 Captulo...

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Cap´ ıtulo 1 Topolog´ ıa b´ asica 1.1. Generalidades Intuitivamente la Topolog´ ıa es la rama de las matem´aticas que es- tudia las propiedades de los objetos que se conservan cuando estos se deforman sin “cortar” ni “pegar” (con la excepci´on de que es posible “cortar” si luego se “pega” por el mismo sitio). Por ejemplo, la super- ficie de una bola es topol´ogicamente equivalente a la de una pelota de rugby o la de una barra, aunque no lo es a la de un toro, puesto que este ´ultimo tiene un agujero. Este ´ultimo es topol´ogicamente equivalente a un toro “anudado” como el de la Figura 1. En el presente cap´ ıtulo es- tudiaremos algunos preliminares topol´ogicos, que pueden encontrarse en cualquier libro elemental de Topolog´ ıa (p. ej., v´ ease [AMR, Chapter 1] o [Ar]).
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  • Winter '15
  • Elementos de Euclides, Conjunto finito, AMR, Pelota, TOPOLOG´IA BASICA

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