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math.MG2012
A notion of continuity in discrete spaces and applications
Valerio Capraro
We propose a notion of continuous path for locally finite metric spaces, taking inspiration from the recent development of A-theory for locally finite connected graphs. We use this…
math.MG2012★ 3 cited
Amenability, locally finite spaces, and bi-lipschitz embeddings
Valerio Capraro
We define the isoperimetric constant for any locally finite metric space and we study the property of having isoperimetric constant equal to zero. This property, called Small Neigh…