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Topology and K-Theory - Lectures by Daniel Quillen (Paperback, 1st ed. 2020)
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Topology and K-Theory - Lectures by Daniel Quillen (Paperback, 1st ed. 2020)
Series: Lecture Notes in Mathematics, 2262
Expected to ship within 10 - 15 working days
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These are notes from a graduate student course on algebraic
topology and K-theory given by Daniel Quillen at the Massachusetts
Institute of Technology during 1979-1980. He had just received the
Fields Medal for his work on these topics among others and was
funny and playful with a confident humility from the start. These
are not meant to be polished lecture notes, rather, things are
presented as did Quillen reflected in the hand-written notes,
resisting any temptation to change or add notation, details or
elaborations. Indeed, the text is faithful to Quillen's own
exposition, even respecting the {\sl board-like presentation} of
formulae, diagrams and proofs, omitting numbering theorems in favor
of names and so on. This is meant to be Quillen on Quillen as it
happened forty years ago, an informal text for a second-semester
graduate student on topology, category theory and K-theory, a
potential preface to studying Quillen's own landmark papers and an
informal glimpse of his great mind. The intellectual pace of the
lectures, namely fast and lively, is Quillen himself, and part of
the point here is to capture some of this intimacy. To be sure,
much has happened since then from this categorical perspective
started by Grothendieck, and Misha Kapranov has contributed an
Afterword in order to make it more useful to current students.
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