Pierre Schapira
Published 2020-12-17Version 1
Posted here for easier accessibility, the first part recalls classical results on constructible functions and their Euler calculus. Next, we introduce the natural and new notions of "constructible sheaves up to infinity and constructible functions up to infinity" and study the operations on these objects. We show in particular how the $\gamma$-topology for constructible functions could be an efficient tool for TDA.
Cohomological amplitude for constructible sheaves on moduli spaces of curves
A complexity theory of constructible functions and sheaves
Stability under integration of sums of products of real globally subanalytic functions and their logarithms
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