Resumen:
A Choking horn is a family of cycles on the family of the
sections of an algebraic variety by very small spheres centered at a
singular point, such that the cycles cannot be boundaries of nearby
chains. The presence of choking horns is an obstruction to metric
conicalness as we can see with some classical isolated hypersurfaces
singularities which we prove are not metrically conic. We also show that
there exist infinitely countably many singular varieties, which are
locally homeomorphic, but not locally bi-Lipschitz equivalent with respect
to the inner metric.
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