We construct a sequence of doubling measures, whose doubling constants tend to 1, all for which kill a Gδ set of full Lebesgue measure.
@article{urn:eudml:doc:41399, title = {Singular measures and the key of G.}, journal = {Publicacions Matem\`atiques}, volume = {44}, year = {2000}, pages = {483-489}, mrnumber = {MR1800819}, zbl = {0972.60025}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41399} }
Buckley, Stephen M.; MacManus, Paul. Singular measures and the key of G.. Publicacions Matemàtiques, Tome 44 (2000) pp. 483-489. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41399/