Geodesic
On the~global dimension of the~abelian group valued diagrams category over a totally ordered set
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 717-723.

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In this paper we shall calculate the global dimension of the category of functors from a totally ordered set to the category of abelian groups. We prove that for the totally ordered set of real numbers this global dimension equals 3. This answers a question of H. Brune. 
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     author = {A. A. Khusainov},
     title = {On the~global dimension of the~abelian group valued diagrams category over a totally ordered set},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a16/}
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A. A. Khusainov. On the~global dimension of the~abelian group valued diagrams category over a totally ordered set. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 717-723. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a16/