27 citations · 63 across the 13 of their papers we have counts for
3 papers · 1 filter
Essential Simplices Dominate in Harmonic Representatives of One-Dimensional Persistent Classes
Saugata Basu, Aldo Guzmán-Sáenz, Laxmi Parida
Persistent homology summarizes the birth and death of topological features, but it does not by itself specify where a feature is located in the underlying complex. Harmonic persist…
The stability of the higher topological complexity of real projective spaces: an approach to their immersion dimension
Natalia Cadavid, Jesús González, Aldo Guzmán-Sáenz
The -th higher topological complexity of a space , , can be estimated from above by homotopical methods, and from below by homological methods. We give a thorough an…
The cohomology ring away from 2 of configuration spaces on real projective spaces
Jesús González, Aldo Guzmán-Sáenz, Miguel Xicotencatl
Let R be a commutative ring containing 1/2. We compute the R-cohomology ring of the configuration space F(m,k) of k ordered points in the m-dimensional real projective space. The m…