Logan C. Hoehn
Department of Computer Science and Mathematics, Nipissing University
Email: loganh (at) nipissingu.ca
Phone: 1-705-474-3450 ext. 4338
PhD, University of Toronto. Thesis: [pdf]
Tools and demonstrations
- Graphs in the study of 1-dimensional continua and span. Workshop on graphs and continua theory, University of Pittsburgh, Pittsburgh PA (Sep 2, 2017). [slides (pdf)]
- A new example of a tree-like continuum with a fixed-point-free self-map. Summer Topology Conference 2016, Leicester University, Leicester, England (Aug 4, 2016). [slides (pdf)]
- Workshop on homogeneous plane continua. STDC16, Baylor University, Waco TX (Mar 9, 2016). [slides (pdf)]
- A complete classification of homogeneous plane continua. Summer Topology Conference 2015, National University of Ireland, Galway, Ireland (June 25, 2015). [slides (pdf)]
- Paths in Euclidean space. Summer Topology Conference 2014, College of Staten Island CUNY, Staten Island NY (Jul 23, 2014). [slides (pdf)]
- Isotopies of compact sets in the plane. STDC14, University of Richmond, Richmond VA (Mar 15, 2014). [slides (pdf)]
- A weakly mixing, but not mixing, map on a dendrite. STDC13, CCSU, New Britain CT (Mar 25, 2013). [slides (pdf)]
- An alternative to the Euclidean path length in the plane. STDC12, UNAM, Mexico City (Mar 24, 2012). [slides (pdf)]
- Uncountable collections of pairwise disjoint non-chainable tree-like continua in the plane. STDC11, UT Tyler, Tyler TX (Mar 19, 2011). [slides (pdf)]
- Course on chainable continua and Lelek's problem. V Taller Estudiantil de Teoria de Continuos y sus Hiperespacios, Universidad Autonoma de Guerrero, Acapulco Mexico (Nov 25--27, 2010). [introductory problems (pdf)]
- A non-chainable continuum with span zero. STDC10, MSU, Starkville MS (Mar 19, 2010). [slides (pdf)]
- A counterexample for Lelek's problem in continuum theory. Southern Wisconsin Logic Colloquium, UW Madison, Madison WI (Nov 17, 2009).
- Chain covers of graphs. Lloyd Roeling Mathematics Conference, UL Lafayette, Lafayette LA (Oct 30, 2009).
- A construction of a compact metric space from a compact Hausdorff space. Nipissing Topology Workshop, Nipissing University, North Bay ON (May 22, 2009). [notes (pdf)]
- Span zero vs. surjective span zero. STDC09, UF, Gainesville FL (Mar 7, 2009). [slides (pdf)]
- (with Oversteegen, L.G.) A complete classification of homogeneous plane continua. Acta Math. 216 (2016), no. 2, 177-216. [pdf]
- (with Mouron, C.) Hierarchies of chaotic maps on continua. Ergodic Theory Dynam. Systems 34 (2014), no. 6, 1897-1913. [pdf] [corrections]
- (with Oversteegen, L.G.; Tymchatyn, E.D.) Continuum theory. In Klaas Pieter Hart, Jan van Mill and Petr Simon (Eds.) Recent Progress in General Topology III (2013).
- An uncountable family of copies of a non-chainable tree-like continuum in the plane. Proc. Amer. Math. Soc. 141 (2013), no. 7, 2543-2556. [pdf]
- (with Bartošová, D.; Hart, K.P.; van der Steeg, B.) Lelek's problem is not a metric problem. Topology Appl. 158 (2011), no. 18, 2479–2484.
- A non-chainable plane continuum with span zero. Fund. Math. 211 (2011), no. 2, 149-174. [pdf]
- (with Karasev, A.) Equivalent metrics and the spans of graphs. Colloq. Math. 114 (2009), no. 1, 135-153. [pdf]
- (with Oversteegen, L.G.; Tymchatyn, E.D.) A canonical parameterization of paths in Rn. (submitted) [pdf]
- (with Hernández-Gutiérrez, R.) A fixed-point-free map of a tree-like continuum induced by bounded valence maps on trees. (submitted) [pdf]
- (with Oversteegen, L.G.; Tymchatyn, E.D.) Extension of isotopies in the plane. (in preparation)
- (with Oversteegen, L.G.; Tymchatyn, E.D.) Shortest paths in plane domains. (in preparation)
- (with Curry, C.; Mayer, J.C.) Topological variety of buried points for Julia sets of rational maps. (in preparation)