搜索结果: 1-9 共查到“几何拓扑学 Groups”相关记录9条 . 查询时间(0.109 秒)
Homomorphisms between diffeomorphism groups
Homomorphisms diffeomorphism groups Geometric Topology
2012/6/25
For r at least 3, p at least 2, we classify all actions of the groups Diff^r_c(R) and Diff^r_+(S1) by C^p -diffeomorphisms on the line and on the circle. This is the same as describing all nontrivial ...
We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise.
On visualization of the linearity problem for mapping class groups of surfaces
visualization linearity problem mapping class groups surfaces
2012/3/1
We derive two types of linearity conditions for mapping class groups of orientable surfaces; one for once-punctured surface, and the other for closed surface, respectively. For the once-punctured case...
On L-spaces and left-orderable fundamental groups
left-orderable fundamental groups Geometric Topology
2011/9/20
Abstract: Examples suggest that there is a correspondence between L-spaces and 3-manifolds whose fundamental groups cannot be left-ordered. In this paper we establish the equivalence of these conditio...
On `A characterization of R-Fuchsian groups acting on the complex hyperbolic plane'
R-Fuchsian groups complex hyperbolic plane Geometric Topology
2011/8/31
Abstract: We indicate a C-Fuchsian counter-example to the result with the above title announced at this http URL and prove a stronger statement.
Conjugacy growth of finitely generated groups
Conjugacy growth function small cancellation theory relatively hyperbolic group quasiisometry
2011/8/31
Abstract: We show that every non-decreasing function $f\colon \mathbb N\to \mathbb N$ bounded from above by $a^n$ for some $a\ge 1$ can be realized (up to a natural equivalence) as the conjugacy growt...
Combinatorial R-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces
R-tree generalized Cayley graph one-dimensional space
2011/8/29
Abstract: In their study of fundamental groups of one-dimensional path-connected compact metric spaces, Cannon and Conner have asked: Is there a tree-like object that might be considered the topologic...
Topological classification of zero-dimensional $M_\omega$-groups
Topological classification zero-dimensional
2010/11/23
A topological group $G$ is called an $M_\omega$-group if it admits a countable cover $\K$ by closed metrizable subspaces of $G$ such that a subset $U$ of $G$ is open in $G$ if and only if $U\cap K$ i...
On the topology of free paratopological groups
Paratopological group free paratopological group
2010/12/1
The result often known as Joiner’s lemma is funda-mental in understanding the topology of the free topological group F(X) on a Tychonoff space X.