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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.GT2006
The homotopy dimension of codiscrete subsets of the 2-sphere
J. W. Cannon, G. R. Conner
We characterize those planar Peano continua that are homotopy equivalent to 1-dimensional sets. While many planar Peano continua are not homotopically 1-dimensional, we prove that…