• Title/Summary/Keyword: implicit axiom of choice

Search Result 1, Processing Time 0.017 seconds

ON THE WEAK FORMS OF CHOICE IN TOPOI

  • Kim, Ig-Sung
    • The Pure and Applied Mathematics
    • /
    • v.15 no.1
    • /
    • pp.85-92
    • /
    • 2008
  • In topoi, there are various forms of the axiom of choice such as (ES), (AC) and (WO). And also there are various weak forms of the axiom of choice such as (DES), (IAC) and (ASC). First we investigate the relation between (IAC) and (ASC), and then we study the relation between (AC) and (WO). We get equivalent forms of the axiom of choice in a well-pointed topos.

  • PDF