We study measure theoretic metric invariants on metric spaces, with a view towards obtaining new invariants, which in combination can be powerful tools to describe the geometry of spaces/objects. An objective is to be able to describe the symmetry of an object via an invariant called symmetry ratio.
A large range of metric spaces support these invariants. A fundamental idea in the project is to extend the classes of spaces, where it is possible to apply classical analysis tools by establishing a framework for translations and generalizations. In the other direction, we can also utilize this setup to get an influx of new ideas in the classical setting.

Status | Completed |
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Period | 01/08/2005 → 01/11/2007 |

Financing source | Forskningsrådene - SNF |
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Research programme | Forskningsrådene - STVF |

Amount | 1,191,276.98 Danish Krone |

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ID: 2235743