On the Orlicz cohomology of star-bounded simplicial complexes
Yaroslav A. Kopylov · Sibirskie Elektronnye Matematicheskie Izvestiya · 2021
We prove that the Whitney transformation induces an isomorphism between the Orlicz cohomology of a star-bounded simplicial complex and the cohomology of the corresponding OrliczSullivan complex.Our main result is an extension of the isomorphism in the Lp case proved by Gol dshtein, Kuz minov, and Shvedov in 1988.