/sci/ - Science & Math

think about this:

for any [math]n \in \mathbb{N}[/math] and any group [math]G[/math], commutative if [math]n\geq 2[/math], there exists a space [math]X[/math] such that
[eqn]\pi_i(X) = \begin{cases}
G & i=n \\
0 & i\neq n
\end{cases}[/eqn]
we can realize groups as blowing up balloons.

HOT OR NOT ??