For Artur: BORSUK-ULAM THEOREMS.  I am going to present the Borsuk-Ulam theorem in its historical context. After that I will give a proof using differential topology and also show some well-known corollaries. To close the talk, I will show some applications of this theorem to measure theory and combinatorics.

For Herman: I will continue with the survey of various topics in Algebraic Topology, this time including CW-complexes, homotopy groups and fibre bundles.