区间上诱导映射的半开与几乎开(英文)

Semi-openness and almost-openness of induced mappings on interval

设f为区间X=[0,1]上的连续自映射,2f和C(f)分别为超空间2X和C(X)上的相应诱导映射.本文主要研究了f为开映射(半开,几乎开),2f为开映射(半开,几乎开)和C(f)为开映射(半开,几乎开)之间的关系.

Give a self-map f of interval X=[0,1].Let 2~f and C(f) mean the induced maps between hyperspace 2~X and C(X).Relations are studied between the condition:f is open(semi-open,almolst-open,respectively),2~f is open(semi-open,almost-open,respectively)and C(f) is open(semi-open,almost-open,respectively).