Set theory note

Stolen from the Course Description: we covered "the basic properties of natural numbers, countable and uncountable sets, the construction of the real numbers, some basic facts about the topology of the real line, cardinal numbers and cardinal arithmetic, the continuum hypothesis, well ordered sets, ordinal numbers and transfinite induction, the axiom of choice, Zorn's lemma. Optional topics if time permits: infinitary combinatorics, filters and large cardinals, Borel and analytic sets of reals."

Part of the lectures notes are as follows, will keep working on it according to time availability