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

Research output: Contribution to journalArticle

Abstract

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
Volume123
Issue number10
DOIs
Publication statusPublished - 1995 Oct

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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