Category Theory (MAGIC009)
Please note that you'll find exercises at the end of most of the uploaded weekly course "handouts". Needless to say, they are very useful for comprehending the material.
This course is part of the MAGIC core.
Category theory is the language of much of modern mathematics. It starts from the observation that the collection of all mathematical structures of a certain kind may itself be viewed as a mathematical object - a category.
This is an introductory course in category theory. The main theme will be universal properties in their various manifestations, one of the most important uses of categories in mathematics.
Spring 2017 (Monday, January 23 to Friday, March 31)
Category theory is an abstract algebraic point of view of mathematics. Some familiarity with an algebraic way of thinking is important. It is therefore an advantage to have studied an undergraduate course in group theory or ring theory, or some other abstract algebra course. I will assume some knowledge of algebra such as vector spaces and their bases, and groups, but a basic undergraduate level knowledge of these subjects is sufficient.
The topics covered are:
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