On the Existence of Agievich-Primitive Partitions.

Autor: Tarannikov, Yu. V.
Zdroj: Journal of Applied & Industrial Mathematics; Nov2022, Vol. 16 Issue 4, p809-820, 12p
Abstrakt: We prove that for any positive integer there exists a smallest positive integer such that for there exist no Agievich-primitive partitions of the space into affine subspaces of dimension . We give lower and upper bounds on the value and prove that . Results of the same type for partitions into coordinate subspaces are established. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index