# ON THE AXIOM OF CHOICE OF WEAK TOPOS Fuz

• Kim Ig-Sung (Department of Data Information Sangji University)
• Published : 2006.04.01
• 69 5

#### Abstract

Topos is a set-like category. In topos, the axiom of choice can be expressed as (AC1), (AC2) and (AC3). Category Fuz of fuzzy sets has a similar function to the topos Set and it forms weak topos. But Fuz does not satisfy (AC1), (AC2) and (AC3). So we define (WAC1), (WAC2) and (WAC3) in weak topos Fuz. And we show that they are equivalent in Fuz.

#### Keywords

category Fuz;axiom of choice;weak topos

#### References

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