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math.GR2005
Free and fragmenting filling length
M. R. Bridson, T. R. Riley
The filling length of an edge-circuit ηin the Cayley 2-complex of a finite presentation of a group is the least integer L such that there is a combinatorial null-homotopy of ηdown…
math.GR2005
Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams
M. R. Bridson, T. R. Riley
The diameter of a disc filling a loop in the universal covering of a Riemannian manifold may be measured extrinsically using the distance function on the ambient space or intrinsic…