Table of contents for Thomason--Trobaugh
Yesterday I got fed up with the lack of a table of contents for Thomason--Trobaugh's Higher algebraic K-theory of schemes that I decided to make one myself. The result is available as a pdf, or as a table in this blog post for your (and my) convenience:
1 | Waldhausen K-theory and K-theory of derived categories | 250 |
2 | Perfect complexes on schemes | 283 |
3 | K-theory of schemes: definition, models, functorialities, excision, limits | 312 |
4 | Projective space bundle theorem | 329 |
5 | Extension of perfect complexes, and the proto-localization theorem | 337 |
6 | Basic fundamental theorem and negative K-groups, KB | 351 |
7 | Basic theorems for KB, including the localization theorem | 363 |
8 | Mayer–Vietoris theorems | 367 |
9 | Reduction to the affine case, and the homotopy, closed Mayer--Vietoris, and invarience-under-infinitesimal-thickenings properties of K-theory with coefficients | 375 |
10 | Brown-Gersten spectral sequences and descent | 382 |
11 | Éale cohomological descent and comparison with topological K-theory | 391 |
A | Exact categories and the Gabriel–Quillen embedding | 398 |
B | Modules vs. quasicoherent modules | 409 |
C | Absolute noetherian approximation | 418 |
D | Hypercohomology with supports | 424 |
E | The Nisnevich topology | 427 |
F | Invariance under change of universe | 431 |