Homologie de Steenrod-Sitnikov et limite homotopique algebrique.
Homology functors on shape categories
Homotopy characterization of weakly flat knots
Homotopy dominations within polyhedra
We show the existence of a finite polyhedron P dominating infinitely many different homotopy types of finite polyhedra and such that there is a bound on the lengths of all strictly descending sequences of homotopy types dominated by P. This answers a question of K. Borsuk (1979) dealing with shape-theoretic notions of "capacity" and "depth" of compact metric spaces. Moreover, π₁(P) may be any given non-abelian poly-ℤ-group and dim P may be any given integer n ≥ 3.
Homotopy equivalences and mapping torus projections
Homotopy preserving functors
Homotopy properties of decomposition spaces
Hyperspaces where convergence to a calm limit implies eventual shape equivalence
Intersections of ANR's
Local behavior and the Vietoris and Whitehead theorems in shape theory
ℓp-Movable At Infinity Spaces, Compact And Divisors And Property UVWn
Multifibrations. A class of shape fibrations with the path lifting property
In this paper we introduce a class of maps possessing a multivalued homotopy lifting property with respect to every topological space. We call these maps multifibrations and they represent a formally stronger concept than that of shape fibration. Multifibrations have the interesting property of being characterized in a completely intrinsic way by a path lifting property involving only the total and the base space of the fibration. We also show that multifibrations (and also, with some restrictions,...
n-шейпы и n-когомотопические группы компактов
Ob'edinenie i proizvedenie w - prostranstv
On a shape characterization of some two-polyhedra
On approximate n-connectedness
On components of MANR-spaces
On fine shape theory
On Fox's theory of overlays
On homotopy types of 2-dimensional polyhedra