Canonical stratifications along bisheaves

Author: 

Nanda, V
Patel, A

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