Mapping telescope
= Mapping telescope
{wiki}
The mapping telescope of $X_0\xrightarrow{f_0}X_1\xrightarrow{f_1}\cdots$ glues the mapping cylinders of the $f_i$ end to end. Its homology is naturally the <direct limit> $\varinjlim_iH_*(X_i)$.
= Mapping telescope
{wiki}
The mapping telescope of $X_0\xrightarrow{f_0}X_1\xrightarrow{f_1}\cdots$ glues the mapping cylinders of the $f_i$ end to end. Its homology is naturally the <direct limit> $\varinjlim_iH_*(X_i)$.