30 citations · 31 across the 3 of their papers we have counts for
3 papers
stat.ML2008★ 30 cited
Persistent Clustering and a Theorem of J. Kleinberg
Gunnar Carlsson, Facundo Memoli
We construct a framework for studying clustering algorithms, which includes two key ideas: persistence and functoriality. The first encodes the idea that the output of a clustering…
math.AT2007★ 1 cited
Derived completions in stable homotopy theory
Gunnar Carlsson
We construct a notion of derived completion which applies to homomorphisms of commutative S-algebras. We study the relationship of the construction with other constructions of comp…
math.AT2007
Covering Homology
Morten Brun, Gunnar Carlsson, Bjorn Ian Dundas
We introduce the notion of "covering homology" of a commutative ring spectrum with respect to certain families of coverings of topological spaces. The construction of covering homo…