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math.GN2010
Finitely Suslinian models for planar compacta with applications to Julia sets
Alexander Blokh, Clinton Curry, Lex Oversteegen
A compactum $X\subset \C$ is unshielded if it coincides with the boundary of the unbounded component of $\C\sm X$. Call a compactum finitely Suslinian if every collection of pa…
math.GN2010
Fixed point theorems in plane continua with applications
Alexander M. Blokh, Robbert J. Fokkink, John C. Mayer +2
We present proofs of basic results, including those developed by Harold Bell, for the plane fixed point problem: does every map of a non-separating plane continuum have a fixed poi…