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On Compactness of Mappings

✍ Scribed by G. T. Whyburn

Book ID
123657967
Publisher
National Academy of Sciences
Year
1964
Tongue
English
Weight
297 KB
Volume
52
Category
Article
ISSN
0027-8424

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Eilenberg proved that if a compact space X admits a zero-dimensional map f :X β†’ Y , where Y is m-dimensional, then there exists a map h :X β†’ I m+1 such that f Γ— h :X β†’ Y Γ— I m+1 is an embedding. In this paper we prove generalizations of this result for Οƒ -compact subsets of arbitrary spaces. An exam