In classical category theory there is a well-developed, clear understanding of what it means for a set of objects to generate a category. We will review this. The definition only makes sense when the category is "concrete", in the sense of Freyd. Triangulated categories are rarely concrete, and in a very real sense we have yet to understand what is the "right" notion of generators.
I will discuss several definitions that have been made in recent years, and then some tantalizing work by Rosicky.
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After the seminar we will take the speaker to lunch.
See the Algebra Seminar web page for information about other seminars in the series.
James East [email protected]