Distributeurs et théorie de la forme
Equivariant shape
Errata to the paper "On shape" Fundamenta Mathematicae 74 (1972), pp. 47-71
Fake topological Hilbert spaces and characterizations of dimension in terms of negligibility
Fiberwise shape theory.
Finite-dimensional categorial complement theorems in shape theory
Finite-dimensional complement theorems in shape theory and their relation to S-duality
Generalized manifolds ANR's and AR's and null decompositions of manifolds
Generalized paths and pointed 1-movability
Homeomorphic neighborhoods in -manifolds
Homotopy equivalences and mapping torus projections
Homotopy properties of decomposition spaces
Hyperspaces where convergence to a calm limit implies eventual shape equivalence
Inaccessibility, essential maps, and shape theory
Limiting subcontinua and Whitney maps of tree-like continua
Local behavior and the Vietoris and Whitehead theorems in shape theory
ℓp-Movable At Infinity Spaces, Compact And Divisors And Property UVWn
Monomorphisms and epimorphisms of inverse systems
Movability and limits of polyhedra
We define a metric , called the shape metric, on the hyperspace of all non-empty compact subsets of a metric space X. Using it we prove that a compactum X in the Hilbert cube is movable if and only if X is the limit of a sequence of polyhedra in the shape metric. This fact is applied to show that the hyperspace , dS)2ℝ2
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,...