14 citations · 24 across the 10 of their papers we have counts for
10 papers
On Asymptotic and Continuous Group Orlicz Cohomology
Yaroslav Kopylov, Emiliano Sequeira
We generalize some results on asymptotic and continuous group -cohomology to Orlicz cohomology. In particular, we show that asymptotic Orlicz cohomology is a quasi-isometry in…
Some Calculations of Orlicz Cohomology and Poincaré--Sobolev--Orlicz Inequalities
Vladimir Gol'dshtein, Yaroslav Kopylov
We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poinc…
Reduced -Cohomology of Some Twisted Products
Vladimir Gol'dshtein, Yaroslav Kopylov
Vanishing results for reduced -cohomology are established in the case of twisted products, which are a~generalization of warped products. Only the case is consi…
On the notion of a semi-abelian category in the sense of Palamodov
Yaroslav Kopylov, Sven-Ake Wegner
In the sense of Palamodov, a preabelian category is semi-abelian if for every morphism the natural morphism between the cokernel of its kernel and the kernel of its cokernel is sim…
Exact couples in semiabelian categories revisited
Yaroslav Kopylov, Sven-Ake Wegner
Consider an exact couple in a semiabelian category in the sense of Palamodov, i.e., in an additive category in which every morphism has a kernel as well as a cokernel and the induc…
-Harmonic Functions on Discrete Groups and First -Cohomology
Yaroslav Kopylov, Roman Panenko
We study the first cohomology groups of a countable discrete group with coefficients in a -module , where is an -function of class …