33 citations · 59 across the 12 of their papers we have counts for
12 papers
Shape dimension of maps
Pavel S. Gevorgyan, I. Pop
In this paper we define a numerical shape invariant of a continuous map called shape dimension of a map, which generalizes the shape dimension of a topological space. Some basic pr…
Uniformly Movable Categories And Uniform Movability Of Topological Spaces
Pavel S. Gevorgyan, I. Pop
A categorical generalization of the notion of movability from the inverse systems and shape theory was given by the first author who defined the notion of movable category and inte…
Movability and co-movability of shape morphisms
P. S. Gevorgyan, I. Pop
The purpose of this paper is to define some notions of movability for morphisms of inverse systems which extend the movability properties of inverse systems and which are compatibl…
Quantum groups: from Kulish-Reshetikhin discovery to classification
Boris Kadets, Eugene Karolinsky, Iulia Pop +1
The aim of this paper is to provide an overview of the results about classification of quantum groups that were obtained in arXiv:1303.4046 [math.QA] and arXiv:1502.00403 [math.QA]…
Classification of quantum groups and Belavin--Drinfeld cohomologies for orthogonal and symplectic Lie algebras
Boris Kadets, Eugene Karolinsky, Iulia Pop +1
In this paper we continue to study Belavin-Drinfeld cohomology introduced in arXiv:1303.4046 [math.QA] and related to the classification of quantum groups whose quasi-classical lim…
Classification of quantum groups and Lie bialgebra structures on . Relations with Brauer group
Alexander Stolin, Iulia Pop
Given an arbitrary field of characteristic 0, we study Lie bialgebra structures on , based on the description of the corresponding classical double.…