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arXiv · 2003.06285

Branch points and stability

J. F. Jardine
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Abstract

The hierarchy poset and branch point poset for a data set both admit a calculus of least upper bounds. A method involving upper bounds is used to show that the map of branch points associated to the inclusion of data sets is a controlled homotopy equivalence, where the control is expressed by an upper bound relation that is constrained by Hausdorff distance.

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J. F. Jardine. 2020-03-12. Branch points and stability. https://arxiv.org/abs/2003.06285

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