Normal bordism - definitions (Ex)

Exercise 0.1. Modify the definition of $<wikitex>; In these exercises we use the notation of {{citeD|Lück2001|Section 3}} {{beginthm|Exercise}} \label{ex:nb} Modify the definition of $\Omega_n(\xi)$ in order to obtain the definition of $\mathcal{N}_n(X,k)$. {{endthm}} {{beginrem|Hint}} Note: There should a be a map $F:W\to X\times[0,1]$ of degree one involved. {{endrem}} {{beginthm|Exercise}} Repeat exercise \ref{ex:nb} for the tangential normal invariants $\mathcal{N}_n^T(X)$. {{endthm}} </wikitex> <!-- == References == {{#RefList:}} --> [[Category:Exercises]] [[Category:Exercises without solution]]\Omega_n(\xi)$ in order to obtain the definition of the normal maps $\mathcal{N}_n(X,k)$.

Hint 0.2. Note: There should a be a map $F:W\to X\times[0,1]$ of degree one involved.

Exercise 0.3. Repeat exercise 0.1 for the tangential normal maps $\mathcal{N}_n^T(X)$.