Lectures in Set Theory: With Particular Emphasis on the Method of Forcing
Thomas J. Jech, "Lectures in Set Theory: With Particular Emphasis on the Method of Forcing"
1971 | pages: 141 | ISBN: 3540055649 | PDF | 3,3 mb
1971 | pages: 141 | ISBN: 3540055649 | PDF | 3,3 mb
The notes contain material covered in the graduate course I gave at the State University of Hew York in Buffalo in 1969-70. As the title suggests, the emphasis is put on the method of forcing. I felt it necessary to provide the notes with the subtitle because two important parts of set theory are completely ignored here: the theory of large cardinals and the descriptive set theory.
Many theorems in these notes are relatively new results. Throughout the text I tried to give everyone credit for the results. I may have not been completely successful since some methods have become a part of "mathematical folklore" and are disseminated mostly by oral communication. My special thanks are due to P. Vopenka, who is responsible for my interest in set theory and who taught me the finesses of forcing. Also, I am indebted to my former colleagues from Prague, whose enthusiasm made the work in set theory a real adventure.
The notes contain enough material for a two-semester graduate course. I did not include any exercises, but I hope that an eager student will find enough enjoyment in working out the details of some of the proofs.
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