4 citations · 9 across the 15 of their papers we have counts for
15 papers
Combinatorial -od covers of graphs
Logan C. Hoehn, Hugo Adrian Maldonado-Garcia
We introduce the notion of a combinatorial -od cover, for , which is a tool that may be used to show that certain continua embedded in the plane are not simple -od-…
Planarity of compactifications of with arc-like remainder
Andrea Ammerlaan, Logan C. Hoehn
We show that if is an arc-like continuum, then any continuum which is the union of and a ray such that and …
Accessibility of countable sets in plane embeddings of arc-like continua
Ana Anušić, Logan C. Hoehn
We consider the problem of finding embeddings of arc-like continua in the plane for which each point in a given subset is accessible. We establish that, under certain conditions on…
The Nadler-Quinn problem on accessible points of arc-like continua
Andrea Ammerlaan, Ana Anušić, Logan C. Hoehn
We show that if is an arc-like continuum, then for every point there is a plane embedding of in which is an accessible point. This answers a question posed by…
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…
Radial departures and plane embeddings of arc-like continua
Andrea Ammerlaan, Ana Anušić, Logan C. Hoehn
We study the problem of Nadler and Quinn from 1972, which asks whether, given an arc-like continuum and a point , there exists an embedding of in fo…
Smooth fans that are endpoint rigid
Rodrigo Hernández-Gutiérrez, Logan C. Hoehn
Let be a smooth fan and denote its set of endpoints by . Let be one of the following spaces: the natural numbers, the irrational numbers, or the product of the Cantor…
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…
A fixed-point-free map of a tree-like continuum induced by bounded valence maps on trees
Rodrigo Hernández-Gutiérrez, L. C. Hoehn
Towards attaining a better working understanding of fixed points of maps of tree-like continua, Oversteegen and Rogers constructed a tree-like continuum with a fixed-point-free sel…
A complete classification of homogeneous plane continua
L. C. Hoehn, L. G. Oversteegen
We show that every non-degenerate homogeneous plane continuum is homeomorphic to either the unit circle, the pseudo-arc, or the circle of pseudo-arcs. It follows that any planar ho…
A canonical parameterization of paths in
L. C. Hoehn, L. G. Oversteegen, E. D. Tymchatyn
For sufficiently tame paths in , Euclidean length provides a canonical parametrization of a path by length. In this paper we provide such a parametrization for all co…
Lelek's problem is not a metric problem
Dana Bartosova, Logan Hoehn, Klaas Pieter Hart +1
We show that Lelek's problem on the chainability of continua with span zero is not a metric problem: from a non-metric counterexample one can construct a metric one.