EN
Contents
Introduction.................................................................................................................................................. 5
I. Preliminaries........................................................................................................................................... 6
II. Main theorem.......................................................................................................................................... 8
III. The categories $k_1, ..., k_{35}$ are rich......................................................................................... 11
IV. Forms $a_1, ..., a_{10}$ and the cone............................................................................................. 27
V. Classification of thin categories......................................................................................................... 40
VI. Operations $o_1, o_2$ and reducing of a category by these operations.................................. 48
Appendix...................................................................................................................................................... 52
References................................................................................................................................................. 53