A Very Discontinuous Borel Function

Journal of Symbolic Logic 59 (4):1268-1283 (1994)
  Copy   BIBTEX

Abstract

It is shown to be consistent that the reals are covered by $\aleph_1$ meagre sets yet there is a Baire class 1 function which cannot be covered by fewer than $\aleph_2$ continuous functions. A new cardinal invariant is introduced which corresponds to the least number of continuous functions required to cover a given function. This is characterized combinatorially. A forcing notion similar to, but not equivalent to, superperfect forcing is introduced.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 94,623

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Analytics

Added to PP
2017-02-21

Downloads
0

6 months
0

Historical graph of downloads

Sorry, there are not enough data points to plot this chart.
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references