Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Can we assign the Borel hulls in a monotone way?

Tools
- Tools
+ Tools

Elekes, Márton and Máthé, András (2009) Can we assign the Borel hulls in a monotone way? Fundamenta Mathematicae, Vol.205 (No.2). pp. 105-115. doi:10.4064/fm205-2-2

Research output not available from this repository, contact author.
Official URL: http://dx.doi.org/10.4064/fm205-2-2

Request Changes to record.

Abstract

A hull of A⊆[0,1] is a set H containing A such that λ∗(H)=λ∗(A). We investigate all four versions of the following problem. Does there exist a monotone (with respect to inclusion) map that assigns a Borel/Gδ hull to every negligible/measurable subset of [0,1]?
Three versions turn out to be independent of ZFC, while in the fourth case we only prove that the nonexistence of a monotone Gδ hull operation for all measurable sets is consistent. It remains open whether existence here is also consistent. We also answer the question of Z. Gyenes and D. Pálvölgyi whether monotone hulls can be defined for every chain of measurable sets. Moreover, we comment on the problem of hulls of all subsets of [0,1].

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Fundamenta Mathematicae
Publisher: Polska Akademia Nauk
ISSN: 0016-2736
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.205
Number: No.2
Page Range: pp. 105-115
DOI: 10.4064/fm205-2-2
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item
twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us