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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive
Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2008 Number 1(2), Pages 23–31 (Mi vtgu81)
MATHEMATICS

Classification of the Free Boolean Topological Groups on Ordinals

L. V. Genze, S. P. Gul'ko, T. E. Khmyleva

Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: Classification of the free Boolean topological groups $B[1,\alpha]$ and of the continuous 2-valued function spaces $C_p([1,\alpha],D)$ and also its conjugate spaces $L_p[1,\alpha]$ is given.

Keywords: Ordinals, Free Boolean topological groups, classifications, $Z_2$-linear topological spaces.

UDC: 512.546.1


Accepted: November 17, 2007


© Steklov Math. Inst. of RAS, 2024