I want to do a survey of textbooks in set theory. Amazon returns 3582 books for the keywords "set theory". A small somewhat random selection with number of references in Google scholar is the following.
Two questions:
What textbooks in set-theory are considered standard?
What is a good place to aggregate standard references (of textbooks)?
(I'm only interested in text-books, which as a format already provide a kind of standardization)
Textbooks on set theory (author: title (year) #Google Scholar citations )
- Thomas J. Jech: Set Theory 3rd Edition (1978) #2441
- Kenneth Kunen: Set Theory (1980) #1881
- P. R. Halmos: Naive Set Theory (1974) #1079
- AA Fraenkel, Y Bar-Hillel, A Levy: Foundations of set theory (1973) #696
- K Kuratowski, A Mostowski, M Mączyński: Set theory (1976) #609
- Suppes: Axiomatic set theory (1972) #589
- Quine: Set theory and its logic (1969) #442
- A Levy: Basic set theory (1979) #442
- Herbert B. Enderton: Elements of Set Theory (1977) #349
- Karel Hrbacek, Thomas J. Jech: Introduction to set theory (1999) #284
- RR Stoll: Set theory and logic (1979) #281
- N. Bourbaki: theory of sets (1970) #211
- K Devlin: The joy of sets: fundamentals of contemporary set theory (1994) #182
- Ciesielski: Set theory for the working mathematician (1997) #156
- YN Moschovakis: Notes on set theory (1994) #138
- FW Lawvere: Sets for mathematics (2003) #118
- G Takeuti, WM Zaring: Introduction to axiomatic set theory (1982) #106
- Kaplansky: Set Theory and Metric Spaces (2001) #103
- Potter: Set Theory and Its Philosophy: A Critical Introduction (2004) #91
- PT Johnstone: Notes on logic and set theory (1987) #87
- Judith Roitman: Introduction to Modern Set Theory (1990) #47
- Derek Goldrei: Set Theory: For Guided Independent Study (1996) #31
- Basic set theory: A Shen, NK Vereshchagin (2002) #14
- Ralf Schindler: Set Theory (2014) #13
- Foreman, Kanamori: Handbook of Set Theory (2009) #38
Note: Please feel free to add textbooks to the list, as long as they are not just on a smaller subset of set theory. (Some of the dates might not be the first published edition.)