Vorlesungen
Class of September 29: Full/faithful/fully fauthful functors. Natural transformations. Digression: Yoneda's lemma. Injective, left cancellative, left invertible maps.
Class of October 1: Surjective, right cancellative, right invertible maps. Initial and terminal objects. Producs and coproducts.
Class of October 6: Exponentiation. "Product–hom adjunction." The Sierpiński two-point space. The subspace topology. Quotients.
Class of October 8: The quotient topology. Examples of quotients. The product topology. The coproduct topology.