an:00549296
Zbl 0802.22001
Morris, Sidney A.; Pestov, Vladimir G.
Open subgroups of free abelian topological groups
EN
Math. Proc. Camb. Philos. Soc. 114, No. 3, 439-442 (1993).
00017278
1993
j
22A05
open subgroups; abelian topological groups; free topological bases
The authors prove that open subgroups of free Markov (Graev) abelian topological groups are free Markov (Graev) abelian topological groups. This result implies that if \(A\) is a free topological abelian group, \(B\) an open subgroup and \(X,Y\) are free topological bases for \(A\) and \(B\) respectively, then \(\dim X = \dim Y\).
M.I.Ursul (Kishinev)