强拟闭集与强拟连续

Strongly quasi -closed sets and strongly quasi-continuous

利用半闭集引入强拟闭集概念,研究了半开集、强拟开集、强拟闭集概念之间的关系,得到了强拟闭集是连续闭映射下的不变量及其相关性质;最后给出强拟连续概念并得到其等价刻画.

First, the concept of strongly quasi-closed sets was introduced by semi-closed sets, the connections among semi-open sets, strongly quasi-open sets and strong quasi-closed sets were discussed. Furthermore, the conclusion which strongly quasi-closed sets were invariant under the continuous closed mapping was obtained, some results of strongly quasi-closed sets were given through further research. Finally, the concept of strongly quasi-continuous mapping was introduced, then its characterizing theorem was proved.