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
4 papers · 2 filters
Fibrewise rational H-spaces
Gregory Lupton, Samuel B. Smith
We prove fibrewise versions of classical theorems of Hopf and Leray-Samelson. Our results imply the fibrewise H-triviality after rationalization of a certain class of fibrewise H-s…
Spaces of Topological Complexity One
Mark Grant, Gregory Lupton, John Oprea
We prove that a space whose topological complexity equals 1 is homotopy equivalent to some odd-dimensional sphere. We prove a similar result, although not in complete generality, f…
Statistical topological data analysis using persistence landscapes
Peter Bubenik
We define a new topological summary for data that we call the persistence landscape. Since this summary lies in a vector space, it is easy to combine with tools from statistics and…
Categorification of persistent homology
Peter Bubenik, Jonathan A. Scott
We redevelop persistent homology (topological persistence) from a categorical point of view. The main objects of study are diagrams, indexed by the poset of real numbers, in some t…