Spivak normal fibration (Ex)
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(Created page with "<wikitex>; In the following exercises $X$ be a connected Poincaré complex of formal dimension $n$. {{beginthm|Exercise}} Let $\xi \colon E \to X$ be a spherical fibration $X$...") |
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Determine the Spivak normal fibration of $E$ above in terms of $\xi$ and the Spivak normal fibration of $X$. | Determine the Spivak normal fibration of $E$ above in terms of $\xi$ and the Spivak normal fibration of $X$. | ||
{{endthm}} | {{endthm}} | ||
− | + | Here are some hints for this problem: [[Tangent bundles of bundles (Ex)]] {{citeD|Wall1966a}} {{citeD|Chazin1975}} | |
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== References == | == References == | ||
{{#RefList:}} | {{#RefList:}} | ||
[[Category:Exercises]] | [[Category:Exercises]] |
Revision as of 17:56, 9 February 2012
In the following exercises be a connected Poincaré complex of formal dimension .
Exercise 0.1. Let be a spherical fibration with homotopy fibre . Show that is a Poincaré complex of formal dimension .
Here is an interesting problem we now confront
Problem 0.2. Determine the Spivak normal fibration of above in terms of and the Spivak normal fibration of .
Here are some hints for this problem: Tangent bundles of bundles (Ex) [Wall1966a] [Chazin1975]