Co-H-spaces and the Ganea conjecture (Q5930180)
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scientific article; zbMATH DE number 1587565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Co-H-spaces and the Ganea conjecture |
scientific article; zbMATH DE number 1587565 |
Statements
Co-H-spaces and the Ganea conjecture (English)
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16 October 2001
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co-H-space
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homology decomposition
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fibrewise localization
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0.91263753
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0.9069764
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0.9038137
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0.90304327
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The Ganea conjecture [\textit{T. Ganea}, Lect. Notes Math. 249, 23-30 (1971; Zbl 0237.55009)] states: does a co-H-space have the homotopy type of a one-point sum of a bunch of circles and a simply connected space? NEWLINENEWLINENEWLINEFirst, the author shows that a non-simply connected co-H-space \(X\) is the total space of a fibrewise-simply connected fibrewise co-Hopf fibration \(j : X\to B\pi_1(X)\) and studies its homology decomposition. Then a series of non-simply co-H-spaces is produced to disprove the Ganea conjecture.
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