17 citations · 93 across the 40 of their papers we have counts for
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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…
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…
A fixed point theorem for branched covering maps of the plane
A. Blokh, L. Oversteegen
It is known that every homeomorphism of the plane has a fixed point in a non-separating, invariant subcontinuum. Easy examples show that a branched covering map of the plane can be…
Fixed points in non-invariant plane continua
Alexander Blokh, Lex Oversteegen
If , with , is continuous and such that and are mapped in opposite directions by , then has a fixed point in . Suppose that $f:\mathbb…