Mathematical Economics

We have been occupied with the development of preparatory notions for the Brouwer's FPT. You can find notes for them here. (Notice that the sketch of proof of Borsuk's Lemma is out of the scope of the lectures. Anyhow, the notes contain a correction of the sketch as presented in the class. Specifically, the isomorphism between the homology groups of the same order does not hold for retracts in general, but refers to the stronger notion of deformation retracts. Check the notes for the corrected argument).