FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 717-723

A. A. Khusainov

Abstract

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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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Last modified: June 17, 1998