On topological complexity of twisted products
classification
🧮 math.GT
math.ATmath.GN
keywords
complexitytopologicalproductstwistedbounddimensionestimatefundamental
read the original abstract
We provide an upper bound on the topological complexity of twisted products. We use it to give an estimate $$TC(X)\le TC(\pi_1(X))+\dim X$$ of the topological complexity of a space in terms of its dimension and the complexity of its fundamental group.
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