Back in 2005, as a master student, I attended a course by Boaz Tsaban, entitled “Infinite Combinatorial Topology”. A friend and I decided to produce lecture notes, but in a somewhat loose sense, that is: we sometimes omit material given in class, sometimes give alternative definitions or proofs, and sometimes include our own additional propositions. However, we were always consistent with the material given in class.

My personal highlight from that course is my alternative proof of the fact that Menger and Hurewicz properties are different. I never submitted this proof for publication, and hence was both happy and surprised to find out that my proof was found valuable and cited in a work by Hernández-Gutiérrez and Szeptycki.

If you have any feedback on these lectures notes, please leave a comment with your input.