Authors
Citation
M. Laczkovich, ANALYTIC SUBGROUPS OF THE REALS, Proceedings of the American Mathematical Society, 126(6), 1998, pp. 1783-1790
Citations number
4
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
00029939
Volume
126
Issue
6
Year of publication
1998
Pages
1783 - 1790
Database
ISI
SICI code
0002-9939(1998)126:6<1783:ASOTR>2.0.ZU;2-M
Abstract
We prove that every analytic proper subgroup of the reals can be cover
ed by an F-sigma null set. We also construct a proper Borel subgroup G
of the reals that cannot be covered by countably many sets A(i) such
that A(i) + A(i) is nowhere dense for every i.