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0111 · Nov 201119922001200920172026
3 results for quasispheres

Quasispheres can be approximated by smooth spheres.

problem Characterizing quasispheres using geometric conditions.
method Proving every quasisphere is a limit of smooth spheres and providing necessary and sufficient conditions for uniform quasispheres.
result Every quasisphere can be approximated by uniform quasispheres that satisfy specific geometric conditions.
Quasifoldsmath.DG

Quasifolds are singular spaces that generalize manifolds and orbifolds. They are locally modeled by manifolds modulo the smooth action of countable groups and they are typically not Hausdorff. If the countable groups happen to be all finite, then quasifolds are orbifolds and if they happen to be all equal to the identi…

2017-10-19abs ↗pdf ↗

We consider decomposition spaces R3/G\R^3/G that are manifold factors and admit defining sequences consisting of cubes-with-handles. Metrics on R3/G\R^3/G constructed via modular embeddings into Euclidean spaces promote the controlled topology to a controlled geometry. The quasisymmetric parametrizability of the metric spa…

2011-11-09abs ↗pdf ↗