I've been working my way through Enderton's Elements of Set Theory for a while, and I feel I have a decent grasp on some of the basics of elementary set theory. My question is, where should I look to next in set theory? What is a good book for set theory that may be considered 'the next step up'?...
I want to get acquainted with forcing, along with a few friends, and I'm looking for a text to introduce the basic notions (pardon the pun :) ). The point is to study a text (or texts, if they can be reasonably seamed together) together for about one week, several hours a day, each of us (three)...
Which is the best book on axiomatic set theory? I am interested in a book that is suitable for graduate studies and it is very mathematically rigorous.
What are some good texts for someone interested in becoming acquainted with the "big ideas" of infinitary combinatorics? If you'd like more specificity, assume the reader has respectable mathematical maturity and a working knowledge of finitary combinatorics and set theory.
I have in past six-ish months studied through the Herbert Endertons Elements of set theory book. Up to the point the book is great,I loved most parts of it and learned almost everything up to the section on cardinal arithmetic. Next I plan on reading Jechs Introduction to set theory and/or Set ...
I'm looking for a book to self-study axiomatic set theory, and heard this was a classic. What are the main prerequisites for this text? My knowledge of set theory isn't too great. Probably the only time I came across nontrivial set theory was when I read the proof that every nonzero ring has a m...
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