Abstract
In [3] the authors introduced a {\em relative category} for a map that differ from the {\em sectional category} by just one. The relative category has specific properties (for instance a homotopy pushout does not increase it) which make it a convenient tool to study the sectional category. The question to know when secat equals relcat arises. We give here some sufficient conditions. Applications are given to the {\em topological complexity}, which is nothing but the sectional category of the diagonal.
Citation
Jean-Paul Doeraene. Mohammed El Haouari. "When does secat equal relcat ?." Bull. Belg. Math. Soc. Simon Stevin 20 (5) 769 - 776, november 2013. https://doi.org/10.36045/bbms/1385390762
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