17 citations · 19 across the 5 of their papers we have counts for
5 papers
Stabilization of the Spread-Global Dimension
Benjamin Blanchette, Justin Desrochers, Eric J. Hanson +1
Motivated by constructions from applied topology, there has been recent interest in the homological algebra of linear representations of posets, particularly in the context of homo…
Exact structures for persistence modules
Benjamin Blanchette, Thomas Brüstle, Eric J. Hanson
We discuss applications of exact structures and relative homological algebra to the study of invariants of multiparameter persistence modules. This paper is mostly expository, but…
Homological approximations in persistence theory
Benjamin Blanchette, Thomas Brüstle, Eric J. Hanson
We define a class of invariants, which we call homological invariants, for persistence modules over a finite poset. Informally, a homological invariant is one that respects some ho…
Quasi-automatic semigroups
Benjamin Blanchette, Christian Choffrut, Christophe Reutenauer
A quasi-automatic semigroup is defined by a finite set of generators, a rational (regular) set of representatives, such that if a is a generator or neutral, then the graph of right…
Quasi-automatic groups are asynchronously automatic
Benjamin Blanchette
A quasi-automatic semigroup is a finitely generated semigroup with a rational set of representatives such that the graph of right multiplication by any generator is a rational rela…