157 citations · 252 across the 26 of their papers we have counts for
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math.AT2012★ 4 cited
Sketches of a platypus: persistent homology and its algebraic foundations
Mikael Vejdemo-Johansson
The subject of persistent homology has vitalized applications of algebraic topology to point cloud data and to application fields far outside the realm of pure mathematics. The are…
math.AT2012★ 2 cited
Interleaved equivalence of categories of persistence modules
Mikael Vejdemo-Johansson
We demonstrate that an equivalence of categories using -interleavings as a fundamental component exists between the model of persistence modules as graded modules over…