On mappings of compact spaces into Carte
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Semeon A. Bogatyi; Vitaly V. Fedorchuk; Jan van Mill
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Article
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2000
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Elsevier Science
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English
⚖ 114 KB
Eilenberg proved that if a compact space X admits a zero-dimensional map f :X → Y , where Y is m-dimensional, then there exists a map h :X → I m+1 such that f × h :X → Y × I m+1 is an embedding. In this paper we prove generalizations of this result for σ -compact subsets of arbitrary spaces. An exam