That being said, I've just finished touching these files up a little bit. These notes come from a variety of sources but principally from Munkres' topology textbook. The files are in the order that they ought to be read in.
I went mad many summers ago and decided I needed to type up all the relevant point-set topology I knew and that I should know. That is the provenance of these files.
|Rudimentary Elements of Topology|
|Quotients and Adjunctions|
|Notions of Connectedness|
|Compact and LCH Spaces|
|Regular and Normal Spaces|
|Urysohn's Lemma and The Tietze Extension Theorem|
|Urysohn's Metrization Theorem and the Emebedding Theorem|
|The Stone-C̆ech Compactification|
|Locally Finite Collections and the Nagata-Smirnov Metrization Theorem|
|Paracompact Spaces and the Smirnov Metrization Theorem|
|Topologies on Function Spaces and Ascoli's Theorem|