A Continuous Theory of Persistence for Mappings Between Manifolds
Algebraic Topology
2013-10-09 v2
Abstract
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.
Cite
@article{arxiv.1102.3395,
title = {A Continuous Theory of Persistence for Mappings Between Manifolds},
author = {Amit Patel},
journal= {arXiv preprint arXiv:1102.3395},
year = {2013}
}
Comments
There are many errors in this paper. We are working on a new version