Geodesic
On the~Orlicz cohomology of~star-bounded simplicial complexes
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 710-719

Voir la notice de l'article provenant de la source Math-Net.Ru

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 Orlicz–Sullivan complex. Our main result is an extension of the isomorphism in the $L_p$ case proved by Gol'dshtein, Kuz'minov, and Shvedov in 1988.
Keywords: star-bounded complex, Orlicz–Sullivan complex, differential form, Orlicz cohomology. 
@article{SEMR_2021_18_1_a50,
     author = {Ya. A. Kopylov},
     title = {On {the~Orlicz} cohomology of~star-bounded simplicial complexes},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {710--719},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a50/}
}
TY  - JOUR
AU  - Ya. A. Kopylov
TI  - On the~Orlicz cohomology of~star-bounded simplicial complexes
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2021
SP  - 710
EP  - 719
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a50/
LA  - en
ID  - SEMR_2021_18_1_a50
ER  - 
%0 Journal Article
%A Ya. A. Kopylov
%T On the~Orlicz cohomology of~star-bounded simplicial complexes
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2021
%P 710-719
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a50/
%G en
%F SEMR_2021_18_1_a50
Ya. A. Kopylov. On the~Orlicz cohomology of~star-bounded simplicial complexes. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 710-719. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a50/