The Continuum and Other Types of Serial Order
by Edward V. Huntington
Publisher: Dover Publications 1917
Number of pages: 90
This classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, it requires no knowledge of higher mathematics. Includes 119 footnotes, mostly bibliographical.
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by Yiannis N. Moschovakis - American Mathematical Society
This monograph develops Descriptive Set Theory from its classical roots to the modern 'effective' theory. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results established since the 1980s.
by Michael Makkai - McGill University
Contents: Sets and classes; The universe of pure sets; Further principles of set-construction; Natural numbers and ordinals; Well-founded Relations and recursion; Indexing by ordinals and the axiom of choice; Well-orderings; Zorn's lema; etc.
by David Marker - University of Illinois at Chicago
These are informal notes for a course in Descriptive Set Theory. While I hope to give a fairly broad survey of the subject we will be concentrating on problems about group actions, particularly those motivated by Vaught's conjecture.
by Thoralf A. Skolem - University of Notre Dame
The book contains a series of lectures on abstract set theory given at the University of Notre Dame. After some historical remarks the chief ideas of the naive set theory are explained. Then the axiomatic theory of Zermelo-Fraenkel is developed.