000			02171nam a22002895i 4500
001			90859
005			20231026102246.0
010			_a978-3-030-43996-5 _dcompra
090			_a90859
100			_a20231023d2020 k||y0pory50 ba
101	0		_aeng
102			_aCH
200	1		_aTopology and k-theory _bDocumento eletrónico _electures by daniel quillen _fby Robert Penner
210			_aCham _cSpringer International Publishing _cSpringer _d2020
215			_aVIII, 213 p. _cil.
225	2		_aHistory of Mathematics Subseries _v2262
303			_aThese 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.
606			_aTopology
606			_aAlgebraic topology
606			_aAlgebra, Homological
680			_aQA611-614.97
700	1		_aPenner _bRobert
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-030-43996-5
942			_2lcc _cF _n0