This textbook is an introduction to the theory of
infinity-categories, a tool used in many aspects of modern pure
mathematics. It treats the basics of the theory and supplies all
the necessary details while leading the reader along a streamlined
path from the basic definitions to more advanced results such as
the very important adjoint functor theorems. The book is based on
lectures given by the author on the topic. While the material
itself is well-known to experts, the presentation of the material
is, in parts, novel and accessible to non-experts. Exercises
complement this textbook that can be used both in a classroom
setting at the graduate level and as an introductory text for the
interested reader.
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