Table of Contents: :: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Huber, Annette, Kaiser, Tobias, Oswal, Abhishek
Format:	Preprint
Published:	2025
Subjects:	Logic Classical Analysis and ODEs Complex Variables 03C64, 32B20, 32C05, 58A07, 58A12
Online Access:	https://arxiv.org/abs/2508.03499
Tags:	Add Tag No Tags, Be the first to tag this record!

Table of Contents:

For globally subanalytic manifolds we define de Rham complexes of globally subanalytic differential forms and of constructible differential forms. Whereas the de Rham theorem does not hold for the former in the non-compact case, it does hold for the latter in full generality. We deduce that the constructible de Rham cohomology groups are canonically isomorphic to the classical ones. We stress that our results apply already in the $C^1$-setting.