Codimension 2

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(Elementary algebraic K-Theory: K_0 and K_1)
(Elementary algebraic K-Theory: K_0 and K_1)
Line 128: Line 128:
 
<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 right inverse to the <math>n</math>-th Chern class up to a 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>
 
* The localization exact sequence, if <math>R</math> is a Dedekind ring, <math>K</math> its quotient field:
 
* The localization exact sequence, if <math>R</math> is a Dedekind ring, <math>K</math> its quotient field:

Revision as of 15:20, 6 April 2016

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