Add to ORKGWe show that finite-type surfaces are characterized by a topological analogue of the Hopf property. Namely, an orientable surface $\Sigma$ is of finite-type if and only if every proper map $f\colon \Sigma \to \Sigma$ of degree-one is homotopic to a homeomorphism.Comment: 7 pages, 2 figures. Comments Welcome
We prove that in the non-orientable setting, the minimal stretch factor of a pseudo-Anosov homeomorp...
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type ...
We give an infinite presentation for the mapping class group of a non-orientable surface with bounda...
We introduce and study tame homeomorphisms of surfaces of infinite type. These are maps for which cu...
Let S denote a compact, connected, orientable surface with genus g and h boundary components. We ref...
We show that if a homotopy equivalence between two non-compact orientable (finite or infinite-type) ...
We prove that every infinite type surface without boundary and finite genus has a Riemann surface st...
In this note we make progress toward a conjecture of Durham–Fanoni–Vlamis, showing that every infini...
The work of Mann and Rafi gives a classification surfaces $\Sigma$ when $\textrm{Map}(\Sigma)$ is gl...
In this note, we prove that the compactly supported mapping class group of a surface containing a ge...
Every closed orientable surface S has the following property: any two connected finite covers of S o...
We introduce the moduli space of marked, complete, Nielsen-convex hyperbolic structures on a surface...
Let S = S(n) denote the infinite surface with n ends, n \in N, accumulated by genus. For n \geq 6, w...
AbstractLet K be a class of graphs. A pair (F,U) is a finite duality in K if U∈K, F is a finite set ...
We determine finite-dimensional Hopf algebras over an algebraically closed field of characteristic z...
We prove that in the non-orientable setting, the minimal stretch factor of a pseudo-Anosov homeomorp...
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type ...
We give an infinite presentation for the mapping class group of a non-orientable surface with bounda...
We introduce and study tame homeomorphisms of surfaces of infinite type. These are maps for which cu...
Let S denote a compact, connected, orientable surface with genus g and h boundary components. We ref...
We show that if a homotopy equivalence between two non-compact orientable (finite or infinite-type) ...
We prove that every infinite type surface without boundary and finite genus has a Riemann surface st...
In this note we make progress toward a conjecture of Durham–Fanoni–Vlamis, showing that every infini...
The work of Mann and Rafi gives a classification surfaces $\Sigma$ when $\textrm{Map}(\Sigma)$ is gl...
In this note, we prove that the compactly supported mapping class group of a surface containing a ge...
Every closed orientable surface S has the following property: any two connected finite covers of S o...
We introduce the moduli space of marked, complete, Nielsen-convex hyperbolic structures on a surface...
Let S = S(n) denote the infinite surface with n ends, n \in N, accumulated by genus. For n \geq 6, w...
AbstractLet K be a class of graphs. A pair (F,U) is a finite duality in K if U∈K, F is a finite set ...
We determine finite-dimensional Hopf algebras over an algebraically closed field of characteristic z...
We prove that in the non-orientable setting, the minimal stretch factor of a pseudo-Anosov homeomorp...
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type ...
We give an infinite presentation for the mapping class group of a non-orientable surface with bounda...