506 citations
- Virginia TechUS9 papers
- Saint Joseph's UniversityUS8 papers
- Instituto Politécnico NacionalMX5 papers
- Kent State UniversityUS5 papers
- Laboratoire de Physique Théorique et ModélisationFR5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- University of South CarolinaUS4 papers
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalMX3 papers
- Glenn Research CenterUS3 papers
- Indiana University BloomingtonUS3 papers
- Nanyang Technological UniversitySG3 papers
- National Aeronautics and Space AdministrationUS3 papers
5 papers · 2 filters
A Mapping Theorem for Topological Complexity
Mark Grant, Gregory Lupton, John Oprea
We give new lower bounds for the (higher) topological complexity of a space, in terms of the Lusternik-Schnirelmann category of a certain auxiliary space. We also give new lower bo…
Metrics for generalized persistence modules
Peter Bubenik, Vin de Silva, Jonathan Scott
We consider the question of defining interleaving metrics on generalized persistence modules over arbitrary preordered sets. Our constructions are functorial, which implies a form…
Hereditary properties of co-Kähler manifolds
Giovanni Bazzoni, Gregory Lupton, John Oprea
We show how certain topological properties of co-K{ä}hler manifolds derive from those of the Kähler manifolds which construct them. We go beyond Betti number results and describe t…
New lower bounds for the topological complexity of aspherical spaces
Mark Grant, Gregory Lupton, John Oprea
We show that the topological complexity of an aspherical space is bounded below by the cohomological dimension of the direct product , whenever and are subgr…
Gottlieb Groups of Function Spaces
Gregory Lupton, Samuel Bruce Smith
We analyze the Gottlieb groups of function spaces. Our results lead to explicit decompositions of the Gottlieb groups of many function spaces map(X,Y)---including the (iterated) fr…