Compact covering mappings on a Borel space

Authors
Debs, G Saint Raymond, J
Citation
G. Debs et J. Saint Raymond, Compact covering mappings on a Borel space, CR AC S I, 332(5), 2001, pp. 423-426
Citations number
3
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
5
Year of publication
2001
Pages
423 - 426
Database
ISI
SICI code
0764-4442(20010301)332:5<423:CCMOAB>2.0.ZU;2-6
Abstract
We prove that if N-1(L) < N-1 (N-2(L) < N-1), then any compact covering map ping from a space Delta (1)(1) onto a space Sigma (0)(3) (Sigma (0)(4)) is inductively perfect. We conjecture that if "For All alpha is an element of omega (omega), N-1(L(alpha)) < N1", the same result holds for any mapping b etween two Borel spaces. (C) 2001 Academie des sciences/Editions scientifiq ues et medicales Elsevier SAS.