A Continuous Theory of Persistence for Mappings Between Manifolds

Details A Continuous Theory of Persistence for Mappings Between Manifolds A Continuous Theory of Persistence for Mappings Between Manifolds

2011-02-16

arxiv.org/abs/1102.3395v1

Mathematics

Algebraic Topology

Scientific paper

Using sheaf theory, I introduce a continuous theory of persistence for
mappings between compact manifolds. In the case both manifolds are orientable,
the theory holds for integer coefficients. The sheaf introduced here is stable
to homotopic perturbations of the mapping. This stability result has a flavor
similar to that of bottleneck stability in persistence.

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