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
scheda docente
materiale didattico
Topological spaces.
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Supplementary book: Topology James R. Munkres - Prentice Hall.
Programma
Topological spaces.
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Testi Adottati
Text: Lezioni di topologia Lucia Caporaso - Available on TeamsSupplementary book: Topology James R. Munkres - Prentice Hall.
Modalità Erogazione
In class lectures available in straming.Modalità Frequenza
In classroomModalità Valutazione
Written exam and/or midterms, and oral examination.
scheda docente
materiale didattico
Topological spaces.
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Supplementary book: Topology James R. Munkres - Prentice Hall.
Programma
Topological spaces.
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Testi Adottati
Text: Lezioni di topologia Lucia Caporaso - Available on TeamsSupplementary book: Topology James R. Munkres - Prentice Hall.
Modalità Erogazione
In class lectures available in straming.Modalità Frequenza
In classroomModalità Valutazione
Written exam and/or midterms, and oral examination.