Author | : Anthony Bak |
Publisher | : Princeton University Press |
Total Pages | : 280 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400881412 |
The description for this book, K-Theory of Forms. (AM-98), Volume 98, will be forthcoming.
Author | : Anthony Bak |
Publisher | : Princeton University Press |
Total Pages | : 280 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400881412 |
The description for this book, K-Theory of Forms. (AM-98), Volume 98, will be forthcoming.
Author | : Anthony Bak |
Publisher | : Princeton University Press |
Total Pages | : 284 |
Release | : 1981-11-21 |
Genre | : Mathematics |
ISBN | : 9780691082752 |
The description for this book, K-Theory of Forms. (AM-98), Volume 98, will be forthcoming.
Author | : Jonathan Rosenberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 404 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461243149 |
Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.
Author | : Charles A. Weibel |
Publisher | : American Mathematical Soc. |
Total Pages | : 634 |
Release | : 2013-06-13 |
Genre | : Mathematics |
ISBN | : 0821891324 |
Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
Author | : Michael Atiyah |
Publisher | : CRC Press |
Total Pages | : 181 |
Release | : 2018-03-05 |
Genre | : Mathematics |
ISBN | : 0429973179 |
These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The theory is taken as far as the solution of the Hopf invariant problem and a start is mode on the J-homomorphism. In addition to the lecture notes proper, two papers of mine published since 1964 have been reproduced at the end. The first, dealing with operations, is a natural supplement to the material in Chapter III. It provides an alternative approach to operations which is less slick but more fundamental than the Grothendieck method of Chapter III, and it relates operations and filtration. Actually, the lectures deal with compact spaces, not cell-complexes, and so the skeleton-filtration does not figure in the notes. The second paper provides a new approach to K-theory and so fills an obvious gap in the lecture notes.
Author | : M. Vatter |
Publisher | : Springer Science & Business Media |
Total Pages | : 569 |
Release | : 2013-04-17 |
Genre | : Philosophy |
ISBN | : 940159337X |
Before Machiavelli, political freedom was approached as a problem of the best distribution of the functions of ruler and ruled. Machiavelli changed the terms of freedom, requiring that its discourse address the demand for no-rule or non-domination. Political freedom would then develop only through a strategy of antagonism to every form of legitimate domination. This leads to the emergence of modern political life: any institution that wishes to rule legitimately must simultaneously be inscribed with its immanent critique and imminent subversion. For Machiavelli, the possibility of instituting the political form is conditioned by the possibility of changing it in an event of political revolution. This book shows Machiavelli as a philosopher of the modern condition. For him, politics exists in the absence of those absolute moral standards that are called upon to legitimate the domination of man over man. If this understanding lies open to relativism and historicism, it does so in order to render effective the project of reinventing the sense of human freedom. Machiavelli's legacy to modernity is the recognition of an irreconcilable tension between the demands of freedom and the imperatives of morality.
Author | : Leonard Eugene Dickson |
Publisher | : |
Total Pages | : 358 |
Release | : 1923 |
Genre | : Mathematics |
ISBN | : |
Author | : Max Karoubi |
Publisher | : Springer Science & Business Media |
Total Pages | : 337 |
Release | : 2009-11-27 |
Genre | : Mathematics |
ISBN | : 3540798900 |
From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. 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 considered 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 K-theory" that this book will study. Topological K-theory has become an important tool in topology. Using K- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from K-theory. 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.Thus this book might be regarded as a fairly self-contained introduction to a "generalized cohomology theory".
Author | : Augustus Edward Hough Love |
Publisher | : |
Total Pages | : 654 |
Release | : 1920 |
Genre | : Elasticity |
ISBN | : |