Add to ORKGAbstract. The Epstein-Baer theory of curve isotopies is basic to the remark-able theorem that homotopic homeomorphisms of surfaces are isotopic. The groundbreaking work of R. Baer was carried out on closed, orientable surfaces and extended by D. B. A. Epstein to arbitrary surfaces, compact or not, with or without boundary and orientable or not. We give a new method of deducing the theorem about homotopic homeomorphisms from the results about homo-topic curves via the hyperbolic geometry of surfaces. This works on all but 13 surfaces where ad hoc proofs are needed. 1
We investigate the group of orientation-preserving auto-homeomorphisms resp. homotopy self-equivalen...
Abstract. We prove two theorems about homotopies of curves on 2-dimensional Riemannian manifolds. We...
Abstract. We show that, for a closed non-orientable surface F, an automorphism of H1(F,Z) is induced...
Abstract. We show that there are homeomorphisms of closed oriented genus g surfaces g which are ber-...
AbstractFour mutually dependent facts are proven. •A smooth saddle sphere in S3 has at least four in...
In this paper we will introduce the concept of canonical reducing set of a surfacehomeomorphism,and ...
We show that a homotopy equivalence between compact, connected, oriented surfaces with non-empty bou...
19 figures includedInternational audienceWe consider a self-homeomorphism h of some surface S. A sub...
19 figures includedInternational audienceWe consider a self-homeomorphism h of some surface S. A sub...
19 figures includedInternational audienceWe consider a self-homeomorphism h of some surface S. A sub...
Abstract. Let S be a complete flat surface, such as the Euclidean plane. We determine the homeomorph...
graph G on an orientable surface S, decide whether G1 and G2 are isotopic; in other words, whether t...
The circle at infinity. Fix g ≥ 2 and let X,Y ∈ Tg be a pair of marked hy-perbolic surfaces. Then th...
AbstractThis paper surveys applications of low-dimensional topology to the study of the dynamics of ...
We investigate the group of orientation-preserving auto-homeomorphisms resp. homotopy self-equivalen...
We investigate the group of orientation-preserving auto-homeomorphisms resp. homotopy self-equivalen...
Abstract. We prove two theorems about homotopies of curves on 2-dimensional Riemannian manifolds. We...
Abstract. We show that, for a closed non-orientable surface F, an automorphism of H1(F,Z) is induced...
Abstract. We show that there are homeomorphisms of closed oriented genus g surfaces g which are ber-...
AbstractFour mutually dependent facts are proven. •A smooth saddle sphere in S3 has at least four in...
In this paper we will introduce the concept of canonical reducing set of a surfacehomeomorphism,and ...
We show that a homotopy equivalence between compact, connected, oriented surfaces with non-empty bou...
19 figures includedInternational audienceWe consider a self-homeomorphism h of some surface S. A sub...
19 figures includedInternational audienceWe consider a self-homeomorphism h of some surface S. A sub...
19 figures includedInternational audienceWe consider a self-homeomorphism h of some surface S. A sub...
Abstract. Let S be a complete flat surface, such as the Euclidean plane. We determine the homeomorph...
graph G on an orientable surface S, decide whether G1 and G2 are isotopic; in other words, whether t...
The circle at infinity. Fix g ≥ 2 and let X,Y ∈ Tg be a pair of marked hy-perbolic surfaces. Then th...
AbstractThis paper surveys applications of low-dimensional topology to the study of the dynamics of ...
We investigate the group of orientation-preserving auto-homeomorphisms resp. homotopy self-equivalen...
We investigate the group of orientation-preserving auto-homeomorphisms resp. homotopy self-equivalen...
Abstract. We prove two theorems about homotopies of curves on 2-dimensional Riemannian manifolds. We...
Abstract. We show that, for a closed non-orientable surface F, an automorphism of H1(F,Z) is induced...