Zobrazeno 1 - 10
of 1 231
pro vyhledávání: '"Homeomorphism group"'
Autor:
Böke, Lukas
Using a recent result of Bowden, Hensel and Webb, we prove the existence of a homeomorphism with positive stable commutator length in the group of homeomorphisms of the Klein bottle which are isotopic to the identity.
Comment: 8 pages, 1 figure
Comment: 8 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2409.16772
Autor:
Iyer, Sumun
The main result is that the group $\textrm{Homeo} (K)$ of homeomorphisms of the universal Knaster continuum contains an open subgroup with a comeager conjugacy class. Actually, this open subgroup is the very natural subgroup consisting of degree-one
Externí odkaz:
http://arxiv.org/abs/2308.13023
Autor:
González, J. de la Nuez
We show that for any connected smooth manifold $M$ of dimension different from $3$ the restriction of the compact-open topology to the diffeomorphism group of $M$ is minimal, i.e. the group does not admit a strictly coarser Hausdorff group topology.
Externí odkaz:
http://arxiv.org/abs/2303.11227
Autor:
González, J. de la Nuez
We show that the homeomorphism group of a surface without boundary does not admit a Hausdorff group topology strictly coarser than the compact-open topology. In combination with known automatic continuity results, this implies that the compact-open t
Externí odkaz:
http://arxiv.org/abs/2210.17280
Autor:
Iyer, Sumun
We define a projective Fraiss\'e family whose limit approximates the universal Knaster continuum. The family is such that the group $\textrm{Aut}(\mathbb{K})$ of automorphisms of the Fraiss\'e limit is a dense subgroup of the group, $\textrm{Homeo}(K
Externí odkaz:
http://arxiv.org/abs/2208.02461
Around twenty years ago Ghys conjectured that finite subgroups of the diffeomorphism group of a compact smooth manifold M have an abelian normal subgroup of index at most a(M), where a(M) depends only on M. First we construct a family of counterexamp
Externí odkaz:
http://arxiv.org/abs/2204.13375
Publikováno v:
Proceedings of the American Mathematical Society, 2001 Feb 01. 129(2), 617-620.
Externí odkaz:
https://www.jstor.org/stable/2668725
Autor:
Dobbins, Michael Gene
This is the third paper in a series on oriented matroids and Grassmannians. We construct a $(\mathrm{O}_3\times\mathbb{Z}_2)$-equivariant strong deformation retraction from the homeomorphism group of the 2-sphere to $\mathrm{O}_3$, where the action o
Externí odkaz:
http://arxiv.org/abs/2108.02134
Autor:
Maruyama, Shuhei
Let $X$ be a connected topological space and $c \in \mathrm{H}^2(X;\mathbb{Z})$ a non-zero cohomology class. A $\mathrm{Homeo}(X,c)$-bundle is a fiber bundle with fiber $X$ whose structure group reduces to the group $\mathrm{Homeo}(X,c)$ of $c$-prese
Externí odkaz:
http://arxiv.org/abs/2009.03724
Autor:
Gheysens, Maxime
We show that the topology of pointwise convergence on scattered spaces is compatible with the group structure of their homeomorphism group. We then establish a few topological properties of the homeomorphism group of the first uncountable ordinal, su
Externí odkaz:
http://arxiv.org/abs/1911.09088