1 citations · 1 across the 3 of their papers we have counts for
4 papers
Realisations of posets and tameness
Wojciech Chacholski, Alvin Jin, Francesca Tombari
We introduce a construction called realisation which transforms posets into posets. We show that realisations share several key features with upper semilattices. For example, we de…
Decomposing filtered chain complexes: geometry behind barcoding algorithms
Wojciech Chachólski, Barbara Giunti, Alvin Jin +1
In Topological Data Analysis, filtered chain complexes enter the persistence pipeline between the initial filtering of data and the final persistence invariants extraction. It is k…
Homotopical decompositions of simplicial and Vietoris Rips complexes
Wojciech Chacholski, Alvin Jin, Martina Scolamiero +1
Motivated by applications in Topological Data Analysis, we consider decompositions of a simplicial complex induced by a cover of its vertices. We study how the homotopy type of suc…
The rigid-flexible value for symplectic embeddings of four-dimensional ellipsoids into polydiscs
Alvin Jin, Andrew S. Lee
We consider the embedding function describing the problem of symplectically embedding an ellipsoid into the smallest scaling of the polydisc . Previous wo…