What is the recommended reading for thoroughly learning set theory? I'm currently studying Kunen's book [1]. But what then, and in what order? One needs to learn large cardinals, inner models and descriptive set theory.
Is it a good idea to try to read Jech's bible [2] from front to back? (quite dense/difficult) Or read Kanamori [3] first? What about descriptive set theory? Does it make sense to study the classical theory in detail first [4], or should one start right away with Moschovakis [5]?
Literature:
[1] Set Theory, K. Kunen (2011)
[2] Set Theory, T. Jech (2003)
[3] The Higher Infinite, A. Kanamori (2008)
[4] Classical Descriptive Set Theory, A. Kechris (1995)
[5] Descriptive Set Theory, Y. N. Moschovakis (1980)
Other recommendations? What's the recommended reading for learning inner/core models and fine structure?
Maybe is "too elementary" for your puropses, but I like very much the set-theory parto of the Topology book of Kelley
http://www.zbmath.org/?q=%28%28kelley+topology%29+ai:kelley.john-leroy%29+py:1975