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Lectures on algebraic topology
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ISBN: 9789811231247 9811231249 9789811232855 9811232857 Year: 2022 Publisher: New Jersey World Scientific Publishing Co.

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"Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory"--


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Leray in Oflag XVIIA: the origins of sheaf theory, sheaf-cohomology, and spectral sequences

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Algebraic topology : proceedings of a workshop held at Seattle, 1985
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ISBN: 3540184813 3540479864 9783540184812 Year: 1987 Volume: 1286 Publisher: Berlin Heidelberg New York Tokyo Springer

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Elliptic cohomology
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ISBN: 9780511721489 9780521700405 9781107362970 1107362970 9780511893865 0511893868 051172148X 9781107367883 1107367883 052170040X 1139882694 1107372429 1107368812 1299405487 1107365422 Year: 2007 Publisher: Cambridge, UK New York Cambridge University Press

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Edward Witten once said that Elliptic Cohomology was a piece of 21st Century Mathematics that happened to fall into the 20th Century. He also likened our understanding of it to what we know of the topography of an archipelago; the peaks are beautiful and clearly connected to each other, but the exact connections are buried, as yet invisible. This very active subject has connections to algebraic topology, theoretical physics, number theory and algebraic geometry, and all these connections are represented in the sixteen papers in this volume. A variety of distinct perspectives are offered, with topics including equivariant complex elliptic cohomology, the physics of M-theory, the modular characteristics of vertex operator algebras, and higher chromatic analogues of elliptic cohomology. This is the first collection of papers on elliptic cohomology in almost twenty years and gives a broad picture of the state of the art in this important field of mathematics.


Book
Théorie de l'homotopie: colloque CNRS-NSF-SMF au C.I.R.M. du 11 au 15 juillet 1988
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Year: 1990 Publisher: Paris Société mathématique de France

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Théorie de l'homotopie: colloque CNRS-NSF-SMF au CIRM du 11 au 15 juillet 1988
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Year: 1990 Publisher: Paris Société mathématique de France

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The Čech centennial : a conference on homotopy theory, June 22-26, 1993, Northeastern university
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ISBN: 9780821802960 0821802968 Year: 1995 Publisher: Providence (R.I.): American mathematical society,

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Homotopy theory

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