On the Orlicz cohomology of star-bounded simplicial complexes
type: Item
instance of: scholarly article
title: On the Orlicz cohomology of star-bounded simplicial complexes
zbMATH Open document ID: 1482.58011
publication date: 2021-08-19T00:00:00Z
review text: The aim of the paper under review is to establish an isomorphism between the cohomology of the manifold and the cohomology of differential forms in Orlicz spaces. The main results extend the corresponding results of \textit{V. M. Gol'dshtejn} et al. [Sib. Math. J. 29, No. 2, 190--197 (1988; Zbl 0668.58051); translation from Sib. Mat. Zh. 29, No. 2(168), 34--44 (1988)] from the setting of \(L_p\) spaces to the setting of Orlicz spaces.
reviewed by: Oleksiy Karlovych
Mathematics Subject Classification ID: 58J10
Mathematics Subject Classification ID: 58A10
Mathematics Subject Classification ID: 55N35
Mathematics Subject Classification ID: 58A12
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 7383526
zbMATH Keywords: star-bounded complex
zbMATH Keywords: Orlicz-Sullivan complex
zbMATH Keywords: differential form
zbMATH Keywords: Orlicz cohomology
author: Ya. A. Kopylov
MaRDI profile type: Publication
full work available at URL: semi.2021.18.051
OpenAlex ID: W3201005705
cites work: Q4086472
cites work: Orlicz spaces and the large scale geometry of Heintze groups
cites work: \(L_ 2\)-cohomology and group cohomology
cites work: De Rham regularization operators in Orlicz spaces of differential forms on Riemannian manifolds
cites work: Orlicz spaces and modular spaces
cites work: Q3253193
DOI: 10.33048/SEMI.2021.18.051
published in: Sibirskie Elektronnye Matematicheskie Izvestiya
description: scientific article; zbMATH DE number 7383526