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Formal aspects of parametrized topological complexity and its pointed version
Journal of Topology and Analysis  (IF0.457),  Pub Date : 2021-11-17, DOI: 10.1142/s1793525321500631
J. M. García-Calcines

The notion of parametrized topological complexity, introduced by Cohen, Farber and Weinberger, is extended to fiberwise spaces which are not necessarily Hurewicz fibrations. After exploring some formal properties of this extension we also introduce the pointed version of parametrized topological complexity. Finally, we give sufficient conditions so that both notions agree.