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
Topological spaces.
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Supplementary book: Topology James R. Munkres - Prentice Hall.
Programme
Topological spaces.
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Core Documentation
Text: Lezioni di topologia Lucia Caporaso - Available on TeamsSupplementary book: Topology James R. Munkres - Prentice Hall.
Type of delivery of the course
In class lectures available in straming.Type of evaluation
Written exam and/or midterms, and oral examination. teacher profile teaching materials
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Supplementary book: Topology James R. Munkres - Prentice Hall.
Programme
Topological spaces.Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Core Documentation
Text: Lezioni di topologia Lucia Caporaso - Available on TeamsSupplementary book: Topology James R. Munkres - Prentice Hall.
Type of delivery of the course
In class lectures available in straming.Type of evaluation
Written exam and/or midterms, and oral examination. teacher profile teaching materials
Topological spaces.
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Supplementary book: Topology James R. Munkres - Prentice Hall.
Programme
Topological spaces.
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Core Documentation
Text: Lezioni di topologia Lucia Caporaso - Available on TeamsSupplementary book: Topology James R. Munkres - Prentice Hall.
Type of delivery of the course
In class lectures available in straming.Type of evaluation
Written exam and/or midterms, and oral examination. teacher profile teaching materials
Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Supplementary book: Topology James R. Munkres - Prentice Hall.
Programme
Topological spaces.Connected spaces.
Compact spaces.
Metric spaces.
Homotopy equivalence.
Fundamental group.
Covering spaces.
Core Documentation
Text: Lezioni di topologia Lucia Caporaso - Available on TeamsSupplementary book: Topology James R. Munkres - Prentice Hall.
Type of delivery of the course
In class lectures available in straming.Type of evaluation
Written exam and/or midterms, and oral examination.