Math 6010 Fall 2011

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We will begin the course by going over some basic descriptive set theory. At this level there will be significant overlap with topics is analysis and topology. As we go along, we will introduce more set theory into the picture and see how it helps (and in fact is necessary) to develop the theory further. As the course progresses, there are several directions we may choose to explore (e.g., lightface theory, Gandy-Harrington topology, definable equivalence relations, forcing and its relation to descriptive set theory, models of set theory and their interaction with descriptive set theory). We'll begin by using some notes I wrote which are posted below. The notes have typos, so view proofreading them as an exercise! We probably won't be following the notes strictly, and we'll be doing many other things as well, but this gives a place to start.

Class Notes:     Polish Spaces,

V=L note,