Defines a new probabilistic lower-bound invariant for parametrized topological complexity and proves it matches classical behavior on Fadell-Neuwirth fibrations and sphere bundles but differs on real projective space bundles with SO structure groups.
On the Lusternik–Schnirelmann category of Peano continua
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On the complexity of parametrized motion planning algorithms
Defines a new probabilistic lower-bound invariant for parametrized topological complexity and proves it matches classical behavior on Fadell-Neuwirth fibrations and sphere bundles but differs on real projective space bundles with SO structure groups.