Student Seminar: Introduction to Set Theory

Organizers:

Lior Silberman	Email: lior	@	math.ubc.ca	MATX 1112
Dave Gilbert	Email: dave.gilbert	@	ubc.ca	BUCH E 360

We will study axiomatic set theory, a foundation for mathematics, following Enderton's textbook [1]. Very little background will be assumed. The books by Halmos [2] and Jech [3] are included in UBC's SpringerLink subscription; you can download PDF copies by following the links in the references section while on the UBC network.

Meetings: Mondays, 15:00-17:00
Undergraduate students can take the seminar for credit. If you want to be registered (the course will be Math 449, section 101) please contact Dr. Silberman.
At the first meeting (September 9) we will discuss the plan for the semester and split the speaking duties.

Agenda

Meeting	Title	Speaker	Notes & References	Homework
1. 9/9	Introduction	Lior Silberman
2. 16/9	Algebra of Sets	Annie Li	Ch. 2	PS1
3. 23/9	Relations and functions	Cat Raanes	Ch. 3	PS2
4. 30/9	The Natural Numbers	Zach Pellegrin	Ch. 4	PS3
5. 7/10	Equinumerosity and Cardinals	Taeuk Nam	Ch. 6	PS4
6. 21/10	The Axiom of Choice	Annie Li	Ch. 6
7. 28/10	(continued) Ordering and well-ordering	Annie Li Cat Raanes	Ch. 6 Ch. 7	PS5
8. 4/11	(continued)	Cat Raanes	Ch. 7	PS6
9. 18/11	Transfinite Recursion and Ordinal Arithmetic	Zach Pellegrin	Ch. 8	PS7
10. 25/11	The Universe of Constructible Sets	Taeuk Nam	[3, Ch. 13]

References

	Author(s)	Title	Data
[1]	Enderton	Elements of Set Theory	Academic Press, Cambridge, 1977. xiv+279 pp. ISBN: 978-0122384400, MR: 0439636
[2]	Halmos	Naive Set Theory	Springer Verlag, New York, 1974. vii+104 pp. ISBN: 978-0-387-90104-6, MR: 0453532
[3]	Jech	Set Theory	Springer Verlag, Berlin, 2003. xiv+769 pp. ISBN: 3-540-44085-2, MR: 1940513

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