18 citations · 72 across the 13 of their papers we have counts for
10 papers · 1 filter
Realisation and Splitting for Poincaré Duality Pairs in Dimension Three
Beatrice Bleile
In earlier work we presented necessary conditions for a fundamental triple to be that of a 3-dimensional Poincaré duality pair with aspherical boundary components. We provide a con…
The Persistent Homology of Dual Digital Image Constructions
Bea Bleile, Adélie Garin, Teresa Heiss +2
To compute the persistent homology of a grayscale digital image one needs to build a simplicial or cubical complex from it. For cubical complexes, the two commonly used constructio…
Duality in Persistent Homology of Images
Adélie Garin, Teresa Heiss, Kelly Maggs +2
We derive the relationship between the persistent homology barcodes of two dual filtered CW complexes. Applied to greyscale digital images, we obtain an algorithm to convert barcod…
Poincaré duality complexes with highly connected universal cover
Beatrice Bleile, Imre Bokor, Jonathan A. Hillman
Turaev conjectured that the classification, realization and splitting results for Poincaré duality complexes of dimension (PD-complexes) generalize to PD-complexes…
Poincare Duality Complexes with Highly Connected Universal Covers
Beatrice Bleile, Imre Bokor
Baues and Bleille showed that, up to oriented homotopy equivalence, a Poincare duality complex of dimension with -connected universal cover, is classified by its f…
The Third Homotopy Group as a pi_1-Module
Hans-Joachim Baues, Beatrice Bleile
It is well-known how to compute the structure of the second homotopy group of a space, , as a module over the fundamental group, , using the homology of the universal cove…