Constructible sheaves and functions up to infinity
Pierre Schapira
TL;DR
This paper introduces the category of b-analytic manifolds to define and analyze constructible sheaves and functions up to infinity, exploring their operations and the Radon transform.
Contribution
It presents a new framework using b-analytic manifolds for constructible sheaves and functions extending to infinity, including detailed operations and the Radon transform.
Findings
Development of the b-analytic manifolds category
Extension of constructible sheaves/functions to infinity
Analysis of Radon transform for these objects
Abstract
We introduce the category of b-analytic manifolds, a natural tool to define constructible sheaves and functions up to infinity. We study with some details the operations on these objects and also recall the Radon transform for constructible functions.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics