K-Theory: An Introduction: Reprint of the 1st ed Berlin Heidelberg new York 1978 (Classics in Mathematics) (en Inglés)
Reseña del libro "K-Theory: An Introduction: Reprint of the 1st ed Berlin Heidelberg new York 1978 (Classics in Mathematics) (en Inglés)"
AT-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem (cf. Borel and Serre [2]). For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch [3] con sidered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological J^-theory" that this book will study. Topological ^-theory has become an important tool in topology. Using- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with //-space structures are S^, S^ and S'^. Moreover, it is possible to derive a substantial part of stable homotopy theory from A^-theory (cf. J. F. Adams [2]). Further applications to analysis and algebra are found in the work of Atiyah-Singer [2], Bass [1], Quillen [1], and others. A key factor in these applications is Bott periodicity (Bott [2]). The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. In addition, several applications of the type described above are included. In general we have tried to make this book self-contained, beginning with elementary concepts wherever possible; however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups (cf. 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P.when('jQuery').execute(function(jQuery) { window.sitbWeblab = ''; var postReftags = function(result, isReaderOpening) { if (result === undefined || result === null) { return; } var urls = isReaderOpening ? result.onReaderOpen : result.onDetailPage; if (urls === undefined || urls === null) { return; } for (var i = 0; urls.length !== undefined && urls.length !== null && i Descripción del producto Críticas From the reviews: "Karoubi's classic K-Theory, An Introduction ... is `to provide advanced students and mathematicians in other fields with the fundamental material in this subject'. ... K-Theory, An Introduction is a phenomenally attractive book: a fantastic introduction and then some. ... serve as a fundamental reference and source of instruction for outsiders who would be fellow travelers." (Michael Berg, MAA Online, December, 2008) Reseña del editor AT-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem (cf. Borel and Serre [2]). For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch [3] con sidered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological J^-theory" that this book will study. Topological ^-theory has become an important tool in topology. Using- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with //-space structures are S^, S^ and S'^. Moreover, it is possible to derive a substantial part of stable homotopy theory from A^-theory (cf. J. F. Adams [2]). Further applications to analysis and algebra are found in the work of Atiyah-Singer [2], Bass [1], Quillen [1], and others. A key factor in these applications is Bott periodicity (Bott [2]). The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. In addition, several applications of the type described above are included. In general we have tried to make this book self-contained, beginning with elementary concepts wherever possible; however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups (cf. 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Tapa blanda: 340 páginas Editor: Springer; Edición: 2008 (18 de septiembre de 2008) Classics in Mathematics Idioma: Inglés ISBN-10: 3540798897 ISBN-13: 978-3540798897 Calificación promedio de nuestros clientes acerca del producto: Sé el primero en calificar este artículo Clasificación en los más vendidos de Amazon: nº365.490 en Libros en idiomas extranjeros (Ver el Top 100 en Libros en idiomas extranjeros) .zg_hrsr { margin: 0; padding: 0; list-style-type: none; } .zg_hrsr_item { margin: 0 0 0 10px; } .zg_hrsr_rank { display: inline-block; width: 80px; text-align: right; } n°527 en Libros en idiomas extranjeros > Ciencias, tecnología y medicina > Matemáticas > Álgebra n°533 en Libros en idiomas extranjeros > Ciencias, tecnología y medicina > Matemáticas > Geometría n°269342 en Libros en idiomas extranjeros > Libros en inglés Si vendes este producto, ¿te gustaría sugerir actualizaciones mediante el soporte al vendedor? if (typeof uet === 'function' && typeof ues === 'function') {var scope = 'Detail_dp-ads-center-promo_Desktop';var placementId = 'd5e5e614-eb00-48e7-9be3-4047cfbef514';ues('wb', 'adplacements:' + scope.replace(/\_/g, ':'), {wb:1}); 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