This note
covers the following topics: Some homotopy theory, Exact categories,
Q-construction, Fundamental groupoid, Waldhausen's constructions, Additivity,
The K-theory spectrum, Products, Group completion, Q=+ theorem, The defining
acyclic map, Homotopy fibres, Resolution theorem, Dévissage, Abelian category
localization, Coherent sheaves and open subschemes, Product formulas, K-theory
with finite coefficients, Homology, K-theory of graded rings, Homotopy property,
Rigidity, K-theory of finite fields.
This note covers the following topics: Recollections and
preliminaries, Symmetric monoidal and stable categories, The group completion
theorem and the K theory of finite fields, The K theory of stable categories.
This note explains the following topics: Categories and functors, Transformations and
equivalences, Universal properties, Homotopy theory, Simplicial methods,
Homotopy theory of categories, Waldhausen K-theory, Abelian and exact
categories, Quillen K-theory.
This note
covers the following topics: Some homotopy theory, Exact categories,
Q-construction, Fundamental groupoid, Waldhausen's constructions, Additivity,
The K-theory spectrum, Products, Group completion, Q=+ theorem, The defining
acyclic map, Homotopy fibres, Resolution theorem, Dévissage, Abelian category
localization, Coherent sheaves and open subschemes, Product formulas, K-theory
with finite coefficients, Homology, K-theory of graded rings, Homotopy property,
Rigidity, K-theory of finite fields.
This is one day
going to be a textbook on K-theory, with a particular emphasis on connections
with geometric phenomena like intersection multiplicities.