Publication Date:
26 June 2020
Journal:
Topological Data Analysis
Last Updated:
2020-10-02T03:31:17.613+01:00
DOI:
10.1007/978-3-030-43408-3_15
page:
391-403
abstract:
A theory of bisheaves has been recently introduced to measure the homological stability of fibers of maps to manifolds. A bisheaf over a topological space is a triple consisting of a sheaf, a cosheaf, and compatible maps from the stalks of the sheaf to the stalks of the cosheaf. In this note we describe how, given a bisheaf constructible (i.e., locally constant) with respect to a triangulation of its underlying space, one can explicitly determine the coarsest stratification of that space for which the bisheaf remains constructible.
Symplectic id:
1053758
Submitted to ORA:
Submitted
Publication Type:
Journal Article
ISBN-13:
978-3-030-43407-6