Topological complexity of the telescope

Mathematics – Algebraic Topology

Scientific paper

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4 pages, 1 figure

Scientific paper

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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