On compactifications of infinite-dimensional spaces
Vitalij A. Chatyrko · MATHEMATICA SCANDINAVICA · 1999
For every separable metrizable space X with trind X T I there exists a countable ordinal number X !trind X such that for every countable ordinal number !X there exists a compactification c X of the space X with trind c X ( X trind X, if trsnd X T I).