~＊X中的Q－拓扑、~＊τ拓扑、F_τ拓扑及其性质

Q-Topology, ￣*τ-Topology, F_τ-Topology and their Properties in ￣*X

本文对＊Ｘ中的三种常用拓扑进行了研究，得到了一些性质。特别地，通过对＊Ｘ的商拓扑的研究，得到了Ｔｙｃｈｏｎｏｆｆ空间的Ｓｔｏｎｅ－Ｃｅｃｈ紧扩张定理的非标准证明。

in this paper, we study several toplogies such as Q,*～r, Fτ in *X and obtain some properties. Eospecially, we give another proof of the Stone-Cech theorem by studying quotient, topologies of *X.