Algebraic K-Theory and Its Applications

כריכה קדמית
Springer Science & Business Media, 6 בדצמ׳ 2012 - 394 עמודים
Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. This book, based on a course at the University of Maryland in the fall of 1990, is intended to enable graduate students or mathematicians working in other areas not only to learn the basics of algebraic K-Theory, but also to get a feel for its many applications. The required prerequisites are only the standard one-year graduate algebra course and the standard introductory graduate course on algebraic and geometric topology. Many topics from algebraic topology, homological algebra, and algebraic number theory are developed as needed. The final chapter gives a concise introduction to cyclic homology and its interrelationship with K-Theory.
 

מה אומרים אנשים - כתיבת ביקורת

לא מצאנו ביקורות במקומות הרגילים

תוכן

Chapter
1
Ko from idempotents
9
Relative Ko and excision
29
Euler characteristics and the Wall
41
Universal central extensions and
162
The +Construction and Quillen
245
Cyclic homology and its relation
302
References
369
59
372
Notational Index
377
Subject Index
383
זכויות יוצרים

מהדורות אחרות - הצג הכל

מונחים וביטויים נפוצים

מידע ביבליוגרפי