Normal bordism - definitions (Ex)
(Difference between revisions)
(Created page with "<wikitex>; In these exercises we use the notation of {{citeD|Lück2001|Section 3}} {{beginthm|Exercise}} Modify the definition of $\Omega_n(\xi)$ in order to obtain the defini...") |
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}} | ||
| − | {{beginthm|Exercise}} | + | {{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 $\mathcal{N}_n(X,k)$. | ||
{{endthm}} | {{endthm}} | ||
| Line 8: | Line 8: | ||
{{endrem}} | {{endrem}} | ||
{{beginthm|Exercise}} | {{beginthm|Exercise}} | ||
| − | Repeat exercise \ref{ex:nb} the tangential normal invariants $\mathcal{N}_n^T(X)$. | + | Repeat exercise \ref{ex:nb} for the tangential normal invariants $\mathcal{N}_n^T(X)$. |
{{endthm}} | {{endthm}} | ||
</wikitex> | </wikitex> | ||
Revision as of 11:56, 27 March 2012
In these exercises we use the notation of [Lück2001, Section 3]
Exercise 0.1.
Modify the definition of 
in order to obtain the definition of 
.
Hint 0.2.
Note: There should a be a map ![F:W\to X\times[0,1]](/images/math/0/f/c/0fc72a2be4249fe18ca6b9444c8dd7a8.png)
of degree one involved.
Exercise 0.3.
Repeat exercise 0.1 for the tangential normal invariants 
.
