Algebraic Topology

Academic year

First semester of the academic year 2025-2026 (6 cfu).



Office hours

You can fix an appointment by sending an email to Paolo Stellari.



Schedule

Teaching will be in presence according to the following schedule:.

• Thursday 15:30-17:30.
• Friday 8:30-10:30.

News

For information on how to attend the lectures, please consult Ariel.

Program

• Introduction to homological algebra. Introduction to some functors in algebraic topology. In particular: singular homology groups, cellular homology for CW complexes, singular cohomology ring, universal coefficients theorem.
• Homotopy theory.
• Applications.
• Various tools to compute homology, cohomology and homotopy.

References

• A. Hatcher, Algebraic topology, Cambridge University Press.
• J.P. May, A Concise Course in Algebraic Topology, Univ. Chicago Press.
• T. tom Dieck, Algebraic topology, EMS Press.