Construction of cf-perturbations

Abstract

In this chapter, we prove Theorem 7.51, that is, the existence of CF-perturbations with respect to which a given weakly submersive map becomes strongly submersive. We also prove its relative version, Proposition 7.59. For this purpose we use the language of sheaf theory to prove Proposition 12.2 for a single Kuranishi chart and Theorem 12.24 for a general case. © Springer Nature Singapore Pte Ltd 2020.