关于不定映射的几个性质

On Several Properties of Uncertain Mapping

文〔１〕给出了半同胚定理，指出不定映射及准半映射与半同胚映射的密切关系。本文给出关于不定映射的几个较为有用的结果，无疑有益于讨论半同胚映射。同时，本文中的定理４在某种意义上给出文〔２〕中定理６的逆命题成立的条件。

Semihomeomorphism theorem is obtained in 1 ,in which there is certain relation between semihomemorphic mapping and uncertain mapping.In this paper,several more useful conclutions on uncertain mapping are obtained,where on some sense the condition that the converse proposition of theorem 6 in 2 be true is obtained.