Wallman-Type Compactifications

All spaces in this paper are Tychonoff. A Wallman base on a space is a normal separating ring of closed subsets of (see Steiner, Duke Math. J. 35 (1968), 269-276). Let be a compact space and <!-- MATH $\mathcal{L}$ --> a Wallman base on . For <!-- MATH $X \subset T$ --> , define <!-- MATH ${\mathcal{L}_X} = \{ A \cap X|A \in \mathcal{L}\}$ --> .