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Cosmology cannot rule out the solution nu_mu <-> nu_s to the atmosphericneutrino data and thus only Earth experiments will be able to give a definitiveanswer. This conclusion holds when a generation of lepton number is taken intoaccount and one assumes that the sterile neutrino is also slightly mixed withan eV-tau neutrino. This result cannot be spoiled by a chaotic generation oflepton domains.Comment: 4 pages, 2 embedded figures, Latex, uses ws-p8-50x6-00.cls. Talk at  COSMO99, to appear in the proceeding

ACTIVE-STERILE NEUTRINO OSCILLATIONS IN THE EARLY UNIVERSE AND THE ATMOSPHERIC NEUTRINO ANOMALY