可逼近紧空间

ON THE PROXIMATELY COMPACT SPACE

引入了可逼近紧空间的概念，给出了它的刻画定理，讨论了它所具有的性质，证明了每一个具有紧邻域扩充性质的可逼近紧空间是绝对邻域收缩核．

The author introduces the concept of the proximately compact space,and discusses some properties of the introduced space,especially it is proved that each proximately compact space with the compact neighborhood extension property is an ANR.