INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.27, no.10, pp.973-977, 1996 (SCI-Expanded)
Denote by R(X) the set of points of X which have no compact neighbourhoods. If X is a non-locally compact space satisfying certain hypotheses with R(X) 1, Chandler and Tzung(2) proved that there exist a compactification alpha X of X with alpha X\X is homeomorphic to T-1(0) = [0, 1). In this paper, we generalize this theorem.