摘要
It is discussed in this paper that under what conditions,for a continuous domain L,there is a Scott continuous self-mapping f:L→L such that the set of fixed points fix(f)is not continuous in the ordering induced by L.For any algebraic domain L with a countable base and a smallest element,the problem presented by Huth is partially solved.Also,an example is given and shows that there is a bounded complete domain L such that for any Scott continuous stable self-mapping f,fix(f)is not the retract of L.
基金
Supported by the National Natural Science Foundation of China(Grant No.10571112)
the National Key Project of Fundamental Research(Grant No.2002CB312200)
