Equivariant and Invariant Parametrized Topological Complexity
Equivariant and Invariant Parametrized Topological Complexity
For a $G$-equivariant fibration $p \colon E\to B$, we introduce and study the invariant analogue of Cohen, Farber and Weinberger's parametrized topological complexity, called the invariant parametrized topological complexity. This notion generalizes the invariant topological complexity introduced by Labawski and Marzantowicz's. We establish the fibrewise homotopy invariance of this notion …