engleski

On the Nadler-Quinn problem

Let X be a chainable continuum and p ∈ X. Is there a planar embedding of X such that p is accessible? (Nadler and Quinn 1972.) It was recently shown that the answer is positive when X is some unimodal inverse limit space. We generalize this result to all X which satisfy a certain no-zigzag property and provide an algorithm for constructing the desired embeddings.

planar embeddings, chainable continua, accessible points

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