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The Mislin genus, phantom maps and classifying spaces

✍ Scribed by Joseph Roitberg


Book ID
104188308
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
1005 KB
Volume
69
Category
Article
ISSN
0166-8641

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The Mislin genus, phantom maps and weak
✍ Ilyong Do; Jianzhong Pan πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 55 KB

For a nilpotent space X, we prove that the cardinality of the set WI(X), which denotes the homotopy classes of weak identities, depends only on the Mislin genus of X. On the other hand, we prove that when X = BG, the classifying space of a connected finite loop space, or X is a 1connected finite Pos