\select@language {spanish}
\contentsline {section}{\numberline {1}Complejos de cadena}{2}
\contentsline {section}{\numberline {2}Homolog\IeC {\'\i }a}{2}
\contentsline {section}{\numberline {3}La caracter\IeC {\'\i }stica de Euler de un complejo}{2}
\contentsline {section}{\numberline {4}Mayer-Vietoris}{4}
\contentsline {subsection}{\numberline {4.1}Aplicaci\'on al c\'alculo de caracter\IeC {\'\i }stica de Euler}{4}
\contentsline {subsection}{\numberline {4.2}Ejemplos}{5}
\contentsline {section}{\numberline {5}El teorema de Gauss-Bonnet}{8}
\contentsline {subsection}{\numberline {5.1}Enunciado}{8}
\contentsline {subsection}{\numberline {5.2}''Frames'' y conexi\'on con 1-formas}{8}
\contentsline {subsection}{\numberline {5.3}F\'ormulas estructurales en general}{9}
\contentsline {subsection}{\numberline {5.4}F\'ormulas estructurales para $S\subset \@mathbb {R}^3$}{9}
\contentsline {subsection}{\numberline {5.5}Demostraci\'on de la version local para un tri\'angulo o cuadrado}{11}