ON THE WEAK FORMS OF CHOICE IN TOPOI
ON THE WEAK FORMS OF CHOICE IN TOPOI
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2008, v.15 no.1, pp.85-92
Kim, Ig-Sung
(Department of Data Information, Sangji University)
Kim, Ig-Sung.
(2008). ON THE WEAK FORMS OF CHOICE IN TOPOI. 한국수학교육학회지시리즈B:순수및응용수학, 15(1), 85-92.
Abstract
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.
- keywords
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axiom of choice,
implicit axiom of choice,
axiom of separated choice