LIOUVILLE NUMBERS, LIOUVILLE SETS AND LIOUVILLE FIELDS

作者：Kumar K Senthil^*; Thangadurai R; Waldschmidt M

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143(8): 3215-3229.

DOI：10.1090/proc/12408

• Liouville number
• Liouville set
• Liouville field
• continuum
• G(delta)-subsets

Following earlier work by E. Maillet 100 years ago, we introduce the definition of a Liouville set, which extends the definition of a Liouville number. We also define a Liouville field, which is a field generated by a Liouville set. Any Liouville number belongs to a Liouville set S having the power of continuum and such that Q boolean OR S is a Liouville field.

• 出版日期2015-8
• 单位常州工学院