Some inaccurated definitions and properties in text [1, 2] are introduced and reformed. The definition of infinite space, cover Frechet (v) spaces, net cover spaces and their property are discussed.

• 摘要指出了文献[1,2]对邻域空间等的定义存在的问题并进行了修正，给出了无限空间、盖邻空间、网盖空间的定义，并且讨论了它们的一些性质。