Fundamentals of General Topology.
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.
Titolo: Geometria 2. Autore Edoardo Sernesi. Ed. Bollati Boringhieri.