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math.DS2017
A Core Decomposition of Compact Sets in the Plane
Benoit Loridant, Jun Luo, Yi Yang
A Peano continuum means a locally connected continuum. A compact metric space is called a \emph{Peano compactum} if all its components are Peano continua and if for any constant $C…
math.GN2017★ 1 cited
Fibers and local connectedness of planar continua
Benoît Loridant, Jun Luo
We describe non-locally connected planar continua via the concepts of fiber and numerical scale. Given a continuum and , we show that the set o…