FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

On the global dimension of the abelian group valued diagrams category over a totally ordered set

A. A. Khusainov

Abstract

View as HTML     View as gif image    View as LaTeX source

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.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/98/982/98217h.htm
Last modified: June 17, 1998