Introduction to Algebraic Topology. Classification of compact surfaces and Cut-Paste techniques.
Introduction to Simplicialt Homology Groups
Path homotopy and relaed properties. Fundamental group. Van Kampen Theorem. Coverings; definition and properties. Liftings. Deck Transformatios. Introduction to Singular Homology.
Office hours:
after classes or by appointment
Contact: T24
Viale Morgagni, 65 - 50134 Firenze
Tel. 055 2751474
Email: fabio.vlacci@unifi.it
Type of Assessment
Final written and oral exam .
Course program
Introduction to Algebraic Euler Characteristc, Platonic solids, Classification of compact surfaces and Cut-Paste techniques.Simplicial Homology groups. Study of Topological invariants. Path homotopy and relaed properties. Fundamental group. Van Kampen Theorem. Coverings; definition and properties. Liftings. Deck Transformatios.
Introduction to Singular Homology.