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Paper detail

Relative category and monoidal topological complexity

If a map $f$ has a homotopy retraction, then Doeraene and El Haouari conjectured that the sectional category and the relative category of $f$ are the same. In this work we discuss this conjecture for some lower bounds of these invariants. In particular, when we consider the diagonal map, we obtain results supporting Iwase-Sakai's conjecture which asserts that the topological complexity is the monoidal topological complexity.

preprint2014arXivOpen access
J. G. Carrasquel-VeraJ. M. García CalcinesL. Vandembroucq
math.AT
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J. G. Carrasquel-VeraJ. M. García CalcinesL. Vandembroucq

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