GENERAL TOPOLOGY
Academic Year 2016/2017 - 2° Year
Teaching Staff: Grazia Raciti
Credit Value: 6
Scientific field: MAT/03 - Geometry
Taught classes: 48 hours
Term / Semester: 1°
Credit Value: 6
Scientific field: MAT/03 - Geometry
Taught classes: 48 hours
Term / Semester: 1°
Learning Objectives
Fundamentals of General Topology.
Detailed Course Content
Definition of topological space. Families of open and closed subsets.Neighborhood system of a point and their properties. Accumulation points. Interior, boundary and clousure of sets. Bases and subbases. Significant examples of topological spaces. Subspaces. Axioms of countability. Metric spaces. Separation axioms. Continuous functions and their properties. Homeomorphisms between topological spaces. Products and quotients of topological spaces. Compact topological spaces, connected and path-connected.
Textbook Information
Titolo: Geometria 2. Autore Edoardo Sernesi. Ed. Bollati Boringhieri.