We introduce the definition of h-perfect elements relative to a compactification \(h:M\longrightarrow L\) and show that if a collection of all such elements is a basis, then the remainder of a frame in this compactification is zero-dimensional. This concept yields what we call a full \(\pi \)-compact basis for rim-compact frames. Compactifications arising from full \(\pi \)-compact bases are investigated. We show that the Freudenthal compactification is the smallest perfect compactification and that its basis is full. Also, we exhibit the one-to-one correspondence between the set of all full \(\pi \)-compact bases and the set of all \(\pi \)-compactifications of a rim-compact frame L.

我们介绍的定义ħ -完美相对于紧凑化元素\（H：M \ longrightarrow大号\）并显示，如果所有这样的元素的集合是一个基础，然后在此紧凑化的帧的剩余部分是零维。这个概念产生了我们称为边缘紧凑框架的完整 \（\ pi \）紧凑基础。研究了完全\（\ pi \）-紧凑基的紧实度。我们表明，弗洛伊登塔尔的压实是最小的完美压实，并且它的基础是充分的。此外，我们展示了所有完全\（\ pi \）-紧缩底的集合与所有\（\ pi \）的集合之间的一一对应关系边沿紧凑框架L的压缩。