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On Heaviside functions of a hyperplane configuration. (Russian) Zbl 0647.32013
Let M be the complement in $${\mathbb{R}}^ n$$to the union of a finite family of hyperplanes, $$M_{{\mathbb{C}}}$$ be the complement in $${\mathbb{C}}^ n$$to the union of corresponding complexified hyperplanes. The paper is devoted to the comparison of properties of the ring P of integer-valued continuous functions on M and the ring H of cohomology of $$M_{{\mathbb{C}}}$$. It gives, in particular, a new proof of some results of P. Orlik and L. Solomon [Invent. Math. 56, 167-189 (1980; Zbl 0432.14016)].
Reviewer: S.I.Gel’fand

##### MSC:
 32C25 Analytic subsets and submanifolds