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Topological Dynamics and Continuum Theory

Dynamics/CT Session #3 #3

Subevent of Dynamics/CT Session #3

Central Time (US & Canada)

Starts at: 2025-08-12 03:30PM

Ends at: 2025-08-12 03:55PM

Plane embeddings of continua, and accessible points

Logan Hoehn ⟨loganh@nipissingu.ca⟩

Abstract:

A point p in a plane continuum XR2 is accessible if there exists an arc AR2 such that AX={p}. I will describe our recent results about plane embeddings of continua and their accessible points. Specifically, I will discuss arc-like continua (the Nadler-Quinn problem), Knaster continua, and Ingram’s atriodic triod-like continuum. This is joint work with Andrea Ammerlaan and Ana Anušić.

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