×

Parametrisations boréliennes. (Borel parametrization). (French) Zbl 0589.28004

It is well known that any dense in itself Polish space X can be obtained as a one-to-one continuous image of the set J of the irrationals by some mapping f. Moreover, if X is zero dimensional then one can construct f such that it is a homeomorphism from J onto X. In this paper we study the Borel complexity of these constructions.

MSC:

28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
03E15 Descriptive set theory
PDFBibTeX XMLCite
Full Text: DOI