Center |
Faculty of Mathematics |
Departament |
Geometry and Topology |
Lecturers in charge |
Sin datos cargados |
Met. Docent |
Met. Avaluació |
- - |
Bibliografia |
[1] M.A. Armstrong ``Topología Básica Reverté (1987). [2] L. Contreras y I. Contreras `` 250 Problemas resueltos de Topología Algebraica y Geometría: Homotopía, espacios recubridores, nudos Univ. Autónoma de Madrid (1989). [3] C. Kosniowsky ``Topología Algebraica Reverté (1989). [4] W.S. Massey ``Introducción a la Topología Algebraica Reverté (1972). |
Continguts |
1.- Quotients and identifications: Equivalence relations and quotients. Quotient topology and identifications. 2.- Homotopy: Homotopic maps and homotopy type. 3.- Fundamental group: Definition of the fundamental. Change in the base point. 4.- The fundamental group of S1: Calculation of the homotopy group of the circle Consequences. 5.- Presentation de groups: Presentation of groups (generators and relations. Tietze?s transformations. 6.- van Kampen theorem: Theorem and consequences. The con construction. 7.- Surfaces. Model surfaces. Fundamental group of the model surfaces. |
Objetius |
URL de Fitxa |