214 citations
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math.GT2007★ 31 cited
On small homotopies of loops
G. Conner, M. Meilstrup, D. Repovš +2
Two natural questions are answered in the negative: (1) If a space has the property that small nulhomotopic loops bound small nulhomotopies, then are loops which are limits of nulh…
math.GT2007
Slope lengths and generalized augmented links
Jessica S. Purcell
In this paper, we determine geometric information on slope lengths of a large class of knots in the 3-sphere, based only on diagrammatical properties of the knots. In particular, w…