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On dimensional properties of topological products

โœ Scribed by B.A. Pasynkov


Book ID
113933619
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
166 KB
Volume
159
Category
Article
ISSN
0166-8641

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On the finite-dimensionality of topologi
โœ Boris A. Pasynkov ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 674 KB

It is proved that there exist integers e(k, 1) 3 -1 for k, 1 = -1 , 0, 1, such that Ind X x Y < e(Ind X, Ind Y) if the space X x Y is normal (and Hausdorff), Y is locally compact paracompact (in particular, compact) and Ind X < co, Ind Y < co (therefore any normal product of two finitedimensional in