Ya. A. Kopylov

collaborators

2 papers

math.CT2023

Lambek Invariants of Commutative Squares in a Homological Category

Yaroslav Kopylov, Vadim Leshkov

We consider the Lambek invariants (introduced by Joachim Lambek in 1964) in the context of semiexact and homological categories in the sense of Grandis. We generalize the Lambek is…

math.DG2019

The Sobolev--Poincaré Inequality and the $L_{q, p}$ -Cohomology of Twisted Cylinders

Vladimir Gol'dshtein, Yaroslav Kopylov

We establish a vanishing result for the $L_{q, p}$ -cohomology ( $q \geq p$ ) of a twisted cylinder, which is a generalization of a warped cylinder. The result is new even for warped cyl…

Lambek Invariants of Commutative Squares in a Homological Category

The Sobolev--Poincaré Inequality and the Lq,p​-Cohomology of Twisted Cylinders

The Sobolev--Poincaré Inequality and the $L_{q, p}$ -Cohomology of Twisted Cylinders