科研之友
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摘要
In [3] the authors introduced a relative category for a map that differ from the 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 topological complexity, which is nothing but the sectional category of the diagonal.
- 出版日期2013
