Zobrazeno 1 - 7
of 7
pro vyhledávání: '"González, J. de la Nuez"'
Let $M$ be a compact, connected manifold of positive dimension and let $\mathcal G\leq\textrm{Homeo}(M)$ be \emph{locally approximating} in the sense that for all open $U\subseteq M$ compactly contained in a single Euclidean chart of $M$, the subgrou
Externí odkaz:
http://arxiv.org/abs/2410.16108
Autor:
González, J. de la Nuez
The group of homeomorphisms of the closed interval that are orientation preserving, absolutely continuous and have an absolutely continuous inverse was shown by Solecki to admit a natural Polish group topology $\tau_{ac}$. We observe that, more gener
Externí odkaz:
http://arxiv.org/abs/2401.00790
We show that the first order theory of the homeomorphism group of a compact manifold interprets the full second order theory of countable groups of homeomorphisms of the manifold. The interpretation is uniform across manifolds of bounded dimension. A
Externí odkaz:
http://arxiv.org/abs/2312.16334
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
For every compact, connected manifold $M$, we prove the existence of a sentence $\phi_M$ in the language of groups such that the homeomorphism group of another compact manifold $N$ satisfies $\phi_M$ if and only if $N$ is homeomorphic to $M$. We prov
Externí odkaz:
http://arxiv.org/abs/2302.01481
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
In this paper we develop a bridge between model theory, geometric topology, and geometric group theory. In particular, we investigate the Ivanov Metaconjecture from the point of view of model theory, and more broadly we seek to answer the general que
Externí odkaz:
http://arxiv.org/abs/2008.10490