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Compactification and factorization theorems for transfinite covering dimension. (English) Zbl 0789.54042
Summary: P. Borst [Fundam. Math. 130, No. 1, 1-25 (1988; Zbl 0661.54035)] introduced a transfinite extension of the covering dimension. In this paper we obtain compactification and factorization theorems for this dimension function.

MSC:
54F45 Dimension theory in general topology
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
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