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Canonical stratifications along bisheaves

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.
Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer, Cham
Host title:
Topological Data Analysis
Series:
Abel Symposia
Series number:
15
Pages:
391-403
Publication date:
2020-06-26
Acceptance date:
2019-09-12
Event title:
Abel Symposium 2018
Event location:
Geiranger, Norway
Event website:
https://folk.ntnu.no/mariusth/Abel
Event start date:
2018-06-04
Event end date:
2018-06-08
DOI:
EISSN:
2193-2808
EISBN:
978-3-030-43408-3
ISBN:
978-3-030-43407-6
Language:
English
Keywords:
Pubs id:
pubs:1053758
UUID:
uuid:f8bf1bf3-fa37-4be3-bdbe-439d9825aa4e
Local pid:
pubs:1053758
Source identifiers:
1053758
Deposit date:
2019-09-17

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