中文摘要：

首先在层双保序算子空间中引进了两种（ω_α,υ_α）-仿紧性,证明了它们都是好的推广.其次,给出了它们的若干刻画与性质,并指出了它们保持若干拓扑不变性质.最后,讨论了（ω_α,υ_α）-仿紧性、（ω_α,υ_α）-分离性以及（ω_α,υ_α）-紧性之间的关系.

英文摘要：

In this paper,firstly,concept of α-ω_α-local remote neighborhood is introduced in ω_α-opos.Its main properties are inspected.Secondly,（ω_α,υ_α）-paracompactness which is proved to be ＂good＂ extensions is introduced in ω_α-biopos.Thirdly,characteristic properties as well as other properties of（ω_α,υ_α）-paracompactness are discussed.It is proved that（ω_α,υ_α）-paracompactness conserves many topological invariant properties.Finally,relations among（ω_α,υ_α）-paracompactness,（ω_α,υ_α）-separation axioms and（ω_α,υ_α）-compactness are established.