14 citations · 56 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…
On Orbit Spaces of Distributive Binary -Spaces
Pavel S. Gevorgyan
The orbit space of a distributive binary -space is studied. A number of its properties in the case of a compact binarily acting group are established.
Strong Movable Categories and Strong Movability of Topological Spaces
Pavel S. Gevorgyan, T. A. Avakyan
The paper is devoted to one of the important notions of the shape theory: that of strong movability, which was primarily introduced by K. Borsuk for metrizable compacts. A strong m…
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…
On equivariant fibrations of -CW-complexes
Pavel S. Gevorgyan, Rolando Jimenez
It is proved that if is a compact Lie group, then an equivariant Serre fibration of -CW-complexes is an equivariant Hurewicz fibration in the class of compactly generated $G…
Equivariant Movability of Topological Groups
Pavel S. Gevorgyan
The equivariant movability of topological spaces with an action of a given topological group is considered. In particular, the equivariant movability of topological groups is s…