Topological complexity of the telescope

preprint2011arXivOpen access

We use an alternative definition of topological complexity to show that the topological complexity of the mapping telescope of a sequence $X_1\rightarrow X_2\rightarrow X_3\rightarrow...$ is bounded above by $2max{TC(X_i); i=1,2,...}$ .

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Topological complexity of the telescope

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