Finiteness Principles for Smooth Selection

Charles Fefferman, Arie Israel, Garving K. Luli

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


In this paper we prove finiteness principles for Cm(Rn, RD) and Cm - 1 , 1(Rn, RD) selections. In particular, we provide a proof for a conjecture of Brudnyi-Shvartsman (1994) on Lipschitz selections for the case when the domain is X= Rn.

Original languageAmerican English
Pages (from-to)422-477
Number of pages56
JournalGeometric and Functional Analysis
Issue number2
StatePublished - Apr 1 2016

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

Cite this