Acquire a good knowledge of concepts and methods of general topology, with particular regard to the study of the main properties of topological spaces such as connection and compactness. Introduce the student to the basic elements of algebraic topology, through the introduction of the fundamental group and the topological classification of curves and surfaces.
Curriculum
teacher profile
teaching materials
Homotopy and the fundamental group.
Munkres - Topology
Programme
Introduction to point-set topology: products, connections, compactness and metric spaces.Homotopy and the fundamental group.
Core Documentation
Course notes by prof. CaporasoMunkres - Topology
Reference Bibliography
E. Sernesi: Geometria 2, Bollati Boringhieri, 2001. N. Bourbaki: General Topology, Volume 1, Springer, 1989. S. Willard: General Topology, Dover Publications, 2004. J. L. Kelley: General Topology, Graduate Text in Mathematics, Springer 1975. A. Hatcher: Algebraic Topology, Cambridge University Press, 2002.Type of delivery of the course
In person lectures, exercise sessions.Attendance
Either in person or online via TeamsType of evaluation
2 midterms. Final written exam. Compulsory oral exam.
teacher profile
teaching materials
Homotopy and the fundamental group.
Munkres - Topology
Programme
Introduction to point-set topology: products, connections, compactness and metric spaces.Homotopy and the fundamental group.
Core Documentation
Course notes by prof. CaporasoMunkres - Topology
Reference Bibliography
E. Sernesi: Geometria 2, Bollati Boringhieri, 2001. N. Bourbaki: General Topology, Volume 1, Springer, 1989. S. Willard: General Topology, Dover Publications, 2004. J. L. Kelley: General Topology, Graduate Text in Mathematics, Springer 1975. A. Hatcher: Algebraic Topology, Cambridge University Press, 2002.Type of delivery of the course
In person lectures, exercise sessions.Attendance
Either in person or online via TeamsType of evaluation
2 midterms. Final written exam. Compulsory oral exam.