The borel classes of mahler’s a, s, t, and u numbers

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this article we examine the A, S, T, and U sets of Mahler's classification from a descriptive set theoretic point of view. We calculate the possible locations of these sets in the Borel hierarchy. A turns out to be - complete, while U provides a rare example of a natural Incomplete set- We produce an upperbound of Lj for S and show that T. Our main result is based on a deep theorem of Schmidt that allows us to guarantee the existence of the T numbers.

Original languageEnglish
Pages (from-to)3197-3204
Number of pages8
JournalProceedings of the American Mathematical Society
Issue number10
Publication statusPublished - 1995 Oct

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics


Dive into the research topics of 'The borel classes of mahler’s a, s, t, and u numbers'. Together they form a unique fingerprint.

Cite this