5 papers
The Nadler-Quinn problem for simplicial inverse systems
Andrea Ammerlaan, Ana Anušić, Logan C. Hoehn
We show that if is an arc-like continuum which can be represented as an inverse limit of a simplicial inverse system on arcs, then for every point there is a plane em…
Shortest paths in arbitrary plane domains
L. C. Hoehn, L. G. Oversteegen, E. D. Tymchatyn
Let be a connected open set in the plane and a path such that . We show that the path can be ``pulled tight'' to a unique shor…
A complete classification of hereditarily equivalent plane continua
L. C. Hoehn, L. G. Oversteegen
A continuum is hereditarily equivalent if it is homeomorphic to each of its non-degenerate sub-continua. We show in this paper that the arc and the pseudo-arc are the only non-dege…
Extension of isotopies in the plane
L. C. Hoehn, L. G. Oversteegen, E. D. Tymchatyn
Let be any plane set. It is known that a holomorphic motion always extends to a holomorphic motion of the entire plane. It was recently…
Homogeneity degree of fans
Gerardo Acosta, Logan C. Hoehn, Yaziel Pacheco Juárez
The homogeneity degree of a topological space is the number of orbits of the action of the homeomorphism group of on . We initiate a study of dendroids of small homogene…