Set Theory and Metric Spaces

                                                                           Samual Eilenberg
                                          during a talk on Category Theory at Haverford College in 1965

(1789-1857 )	Background Some Interesting Subsets of the Plane Continuity Mathematical Arguments The Barber's Paradox	(1831-1916 )
(1845-1918)	(1862-1943)	(1872-1970)
(1871-1953)	Informal Set Theory Sets, Classes, and Russell's Paradox Axiomatic Set Theory - A very brief overview Set Theory for the Natural Numbers - Cardinality Set Theory for the Natural Numbers - Order Interlude - A Natural Numbers Cheat Sheet The Algebra of Sets Posets and Lattice Cardinal Numbers continued -The Continuum of Real Numbers The Mid-semester Examination will be on February 23. Zorn's "Lemma" Ordered Sets Well Ordered Sets	(1891-1965)
(1906-1993)	(1906-1978)	(1934- )
(1892-1945)	Foundations The Axiom of Choice Continuity Continued - Density Consistency and Independence Alternative Set Theories Category Theory Abstract and Concrete Categories The Joy of Cats Jiri Adamek, Horst Herrlich, and George E. Strecker	(1902-1983)
(1882-1935)	(1913-1998)	(1909- )
(1868-1942 )	Metric Spaces Some Interesting Subsets of the Plane(revisited) Continuity(revisited) Continuity Continued - Density(revisited) The Category of Complete Metric Spaces Compact Metric Spaces Every Metric Space can be Isometrically Embedded in a Complete Metric Space - I The Lebesgue Number of a Covering The Banach Fixed Point Theorem Every Metric Space can be Isometrically Embedded in a Complete Metric Space - II The Metric Space Review Sheet The end-of-semester examination will be on April 27.	(1881-1966 )