I'm insterested on set theory and general topology: particulary on forcing and compactness. I'm searching for a book which study the interaction between both topics or even the interaction between Set-Theoretic Topology and Forcing in general. Can some one recommend me some online material, book or paper?
Thanks in advance.
Start with the (excellent but outdated) handbook of set theoretic topology and then move onto (recently revised) open problems in set theoretic topology. This has evolved into a vast subject so it is hard to recommend specific papers too strongly. My advice is: Learn the basic techniques (elementary submodels, forcing, combinatorial principles), fall in love with a problem (there are plenty) and solve it! Good luck.