Codimension 2

From Mathematics
Jump to: navigation, search
(Elementary algebraic K-Theory: K_0 and K_1)
(Elementary algebraic K-Theory: K_0 and K_1)
Line 125: Line 125:
 
* Chern classes are maps from <math>K_0(X)</math>
 
* Chern classes are maps from <math>K_0(X)</math>
 
* Also mention that there is a map  
 
* Also mention that there is a map  
 +
 
<math>\{\text{codim } n \text{ cycles}\} \rightarrow K_0(X) </math>
 
<math>\{\text{codim } n \text{ cycles}\} \rightarrow K_0(X) </math>
 +
 
which is inverse to the <math>n</math>-th Chern class "up to smaller cycles and some rational factor".
 
which is inverse to the <math>n</math>-th Chern class "up to smaller cycles and some rational factor".
 
* The Whitehead Lemma, 3.1<ref name="Mil71"/> and the definition of <math>K_1(R)</math>
 
* The Whitehead Lemma, 3.1<ref name="Mil71"/> and the definition of <math>K_1(R)</math>

Revision as of 15:18, 6 April 2016

Personal tools
Namespaces

Variants
Actions
Navigation
Toolbox