Normal bordism - definitions (Ex)
(Difference between revisions)
m |
|||
Line 1: | Line 1: | ||
<wikitex>; | <wikitex>; | ||
− | In these exercises we use the notation of {{citeD|Lück2001|Section 3}} | + | In these exercises we use the notation of {{citeD|Lück2001|Section 3.3}} |
{{beginthm|Exercise}} \label{ex:nb} | {{beginthm|Exercise}} \label{ex:nb} | ||
− | Modify the definition of $\Omega_n(\xi)$ in order to obtain the definition of $\mathcal{N}_n(X,k)$. | + | Modify the definition of $\Omega_n(\xi)$ in order to obtain the definition of the normal maps $\mathcal{N}_n(X,k)$. |
{{endthm}} | {{endthm}} | ||
{{beginrem|Hint}} | {{beginrem|Hint}} | ||
Line 8: | Line 8: | ||
{{endrem}} | {{endrem}} | ||
{{beginthm|Exercise}} | {{beginthm|Exercise}} | ||
− | Repeat exercise \ref{ex:nb} for the tangential normal | + | Repeat exercise \ref{ex:nb} for the tangential normal maps $\mathcal{N}_n^T(X)$. |
{{endthm}} | {{endthm}} | ||
</wikitex> | </wikitex> |
Revision as of 11:45, 2 April 2012
In these exercises we use the notation of [Lück2001, Section 3.3]
Exercise 0.1. Modify the definition of in order to obtain the definition of the normal maps .
Hint 0.2. Note: There should a be a map of degree one involved.
Exercise 0.3. Repeat exercise 0.1 for the tangential normal maps .