- #1
cohomology
- 2
- 0
I'm trying to understand direct limits so consider the direct limit
[itex]\lim_\rightarrow (\mathbb{Z} \rightarrow \mathbb{Z} \rightarrow \mathbb{Z} \rightarrow \cdots)[/itex]
where each map is multiplication by 2.
I concluded that the solution is [itex]\mathbb{Z}\sqcup\coprod(\mathbb{Z}-2\mathbb{Z})[/itex]. Is this correct?
[itex]\lim_\rightarrow (\mathbb{Z} \rightarrow \mathbb{Z} \rightarrow \mathbb{Z} \rightarrow \cdots)[/itex]
where each map is multiplication by 2.
I concluded that the solution is [itex]\mathbb{Z}\sqcup\coprod(\mathbb{Z}-2\mathbb{Z})[/itex]. Is this correct?