This paper gave the definitions of the p-set families ,upper co-p-set topology and p-cover in hyperspace 2X . And using p-cover ,it obtained Rothberg-like ,Menger-like and Hurewicz-like selection principles of hyperspace 2X to upper co-p-set topology τ+P .%给出了超空间2X 的p集族、上半 p集补拓扑和p-覆盖的定义。利用 p-覆盖得到了超空间2X 赋予上半p集补拓扑τ+P 的Rothberg型、Menger型和Hurewicz型的选择原理。
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