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This is a very impressive open resource for mathematics. It is a pity that there is nothing like that in physics.
from http://stacks.math.columbia.edu/browse
1. Introduction | online | tex | pdf | |
2. Conventions | online | tex | pdf | |
3. Set Theory | online | tex | pdf | |
4. Categories | online | tex | pdf | |
5. Topology | online | tex | pdf | |
6. Sheaves on Spaces | online | tex | pdf | |
7. Sites and Sheaves | online | tex | pdf | |
8. Stacks | online | tex | pdf | |
9. Commutative Algebra | online | tex | pdf | |
10. Brauer groups | online | tex | pdf | |
11. Homological Algebra | online | tex | pdf | |
12. Derived Categories | online | tex | pdf | |
13. Simplicial Methods | online | tex | pdf | |
14. More on Algebra | online | tex | pdf | |
15. Smoothing Ring Maps | online | tex | pdf | |
16. Sheaves of Modules | online | tex | pdf | |
17. Modules on Sites | online | tex | pdf | |
18. Injectives | online | tex | pdf | |
19. Cohomology of Sheaves | online | tex | pdf | |
20. Cohomology on Sites | online | tex | pdf | |
21. Hypercoverings | online | tex | pdf | |
Schemes | ||||
22. Schemes | online | tex | pdf | |
23. Constructions of Schemes | online | tex | pdf | |
24. Properties of Schemes | online | tex | pdf | |
25. Morphisms of Schemes | online | tex | pdf | |
26. Cohomology of Schemes | online | tex | pdf | |
27. Divisors | online | tex | pdf | |
28. Limits of Schemes | online | tex | pdf | |
29. Varieties | online | tex | pdf | |
30. Topologies on Schemes | online | tex | pdf | |
31. Descent | online | tex | pdf | |
32. Derived Categories of Schemes | online | tex | pdf | |
33. More on Morphisms | online | tex | pdf | |
34. More on Flatness | online | tex | pdf | |
35. Groupoid Schemes | online | tex | pdf | |
36. More on Groupoid Schemes | online | tex | pdf | |
37. Étale Morphisms of Schemes | online | tex | pdf | |
Topics in Scheme Theory | ||||
38. Chow Homology and Chern Classes | online | tex | pdf | |
39. Adequate Modules | online | tex | pdf | |
40. Dualizing Complexes | online | tex | pdf | |
41. Étale Cohomology | online | tex | pdf | |
42. Crystalline Cohomology | online | tex | pdf | |
43. Pro-étale Cohomology | online | tex | pdf | |
Algebraic Spaces | ||||
44. Algebraic Spaces | online | tex | pdf | |
45. Properties of Algebraic Spaces | online | tex | pdf | |
46. Morphisms of Algebraic Spaces | online | tex | pdf | |
47. Decent Algebraic Spaces | online | tex | pdf | |
48. Cohomology of Algebraic Spaces | online | tex | pdf | |
49. Limits of Algebraic Spaces | online | tex | pdf | |
50. Divisors on Algebraic Spaces | online | tex | pdf | |
51. Topologies on Algebraic Spaces | online | tex | pdf | |
52. Descent and Algebraic Spaces | online | tex | pdf | |
53. Derived Categories of Spaces | online | tex | pdf | |
54. More on Morphisms of Spaces | online | tex | pdf | |
55. Algebraic Spaces over Fields | online | tex | pdf | |
56. Groupoids in Algebraic Spaces | online | tex | pdf | |
57. More on Groupoids in Spaces | online | tex | pdf | |
58. Bootstrap | online | tex | pdf | |
59. Quotients of Groupoids | online | tex | pdf | |
Deformation Theory | ||||
60. Formal Deformation Theory | online | tex | pdf | |
61. Deformation Theory | online | tex | pdf | |
62. The Cotangent Complex | online | tex | pdf | |
Algebraic Stacks | ||||
63. Algebraic Stacks | online | tex | pdf | |
64. Examples of Stacks | online | tex | pdf | |
65. Sheaves on Algebraic Stacks | online | tex | pdf | |
66. Criteria for Representability | online | tex | pdf | |
67. Artin's axioms | online | tex | pdf | |
68. Quot and Hilbert Spaces | online | tex | pdf | |
69. Properties of Algebraic Stacks | online | tex | pdf | |
70. Morphisms of Algebraic Stacks | online | tex | pdf | |
71. Cohomology of Algebraic Stacks | online | tex | pdf | |
72. Derived Categories of Stacks | online | tex | pdf | |
73. Introducing Algebraic Stacks | online | tex | pdf | |
Miscellany | ||||
74. Examples | online | tex | pdf | |
75. Exercises | online | tex | pdf | |
76. A Guide to the Literature | online | tex | pdf | |
77. Desirables | online | tex | pdf | |
78. Coding Style | online | tex | pdf | |
79. Obsolete | online | tex | pdf | |
80. GNU Free Documentation License | online | tex | pdf | |
81. Auto generated index |
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