2 papers
math.AT2022
Topological Complexity of as fibrewise L-S category
Norio Iwase, Yuya Miyata
In 2010, M. Sakai and the first author showed that the topological complexity of a space coincides with the fibrewise unpointed L-S category of a pointed fibrewise space $\oper…
math.AT2019
On the topological complexity of
Yuya Miyata
Topological complexity was first introduced in 2003 by Michael Farber as a homotopy invariant for a connected topological space X, denoted by TC(X). Although the invariant is defin…