General Cohomology Theory and K-Theory
Title | General Cohomology Theory and K-Theory PDF eBook |
Author | P. J. Hilton |
Publisher | Cambridge University Press |
Pages | 120 |
Release | 1971-02-28 |
Genre | Mathematics |
ISBN | 9780521079761 |
These notes constitute a faithful record of a short course of lectures given in São Paulo, Brazil, in the summer of 1968. The audience was assumed to be familiar with the basic material of homology and homotopy theory, and the object of the course was to explain the methodology of general cohomology theory and to give applications of K-theory to familiar problems such as that of the existence of real division algebras. The audience was not assumed to be sophisticated in homological algebra, so one chapter is devoted to an elementary exposition of exact couples and spectral sequences.
General Cohomology Theory and K-theory
Title | General Cohomology Theory and K-theory PDF eBook |
Author | Peter John Hilton |
Publisher | |
Pages | 102 |
Release | 1971 |
Genre | |
ISBN |
General Cohomology Theory and K-Theory
Title | General Cohomology Theory and K-Theory PDF eBook |
Author | Peter John Hilton |
Publisher | |
Pages | 110 |
Release | 2014-05-14 |
Genre | Homology theory |
ISBN | 9781107086944 |
These notes constitute a faithful record of a short course of lectures given in Sao Paulo, Brazil, in the summer of 1968. The audience was assumed to be familiar with the basic material of homology and homotopy theory, and the object of the course was to explain the methodology of general cohomology theory and to give applications of K-theory to familiar problems such as that of the existence of real division algebras. The audience was not assumed to be sophisticated in homological algebra, so one chapter is devoted to an elementary exposition of exact couples and spectral sequences.
General Cohomology Theory and K-theory
Title | General Cohomology Theory and K-theory PDF eBook |
Author | Peter John Hilton |
Publisher | |
Pages | 101 |
Release | 1973 |
Genre | |
ISBN |
General Cohomology Theory and K-theory
Title | General Cohomology Theory and K-theory PDF eBook |
Author | Peter J. Hilton |
Publisher | |
Pages | 0 |
Release | 1971 |
Genre | |
ISBN |
The $K$-book
Title | The $K$-book PDF eBook |
Author | Charles A. Weibel |
Publisher | American Mathematical Soc. |
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
Generalized Cohomology
Title | Generalized Cohomology PDF eBook |
Author | Akira Kōno |
Publisher | American Mathematical Soc. |
Pages | 276 |
Release | 2006 |
Genre | Mathematics |
ISBN | 9780821835142 |
Aims to give an exposition of generalized (co)homology theories that can be read by a group of mathematicians who are not experts in algebraic topology. This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.