Sign up or sign in

Accessible points of arc-like continua

Andrea Ammerlaan ⟨ajammerlaan879@my.nipissingu.ca⟩

Abstract:

This talk will discuss the Nadler-Quinn problem. Posed in 1972, the problem asks if, given any arc-like continuum X and any point xX, we can embed X in the plane with x accessible. In 2001, Minc constructed a particularly simple example of an arc-like continuum X and point pX for which it was not known whether p could be made accessible in a plane embedding of X. In 2020, Anusic proved that X can, in fact, be embedded with p accessible. I will give an overview of this proof and briefly introduce a more recent approach to the problem.

Status: Accepted

Collection: Continuum Theory

Back to collection