Homotopy Decompositions of Equivariant Function Spaces. II. Function Spaces of Equivariantly Triangulated Spaces.
Homotopy equivalences and mapping torus projections
Homotopy for small multifunctions
Homotopy properties of decomposition spaces
Hopfian and co-Hopfian objects.
The aim of the present paper is to study Hopfian and Co-Hopfian objects in categories like the category of rings, the module categories A-mod and mod-A for any ring A. Using Stone's representation theorem any Boolean ring can be regarded as the ring A of clopen subsets of compact Hausdorff totally disconnected space X. It turns out that the Boolean ring A will be Hopfian (resp. co-Hopfian) if and only if the space X is co-Hopfian (resp. Hopfian) in the category Top. For any compact Hausdorff space...
How sensitive is to changes in and/or ?
We investigate how the Lindelöf property of the function space is influenced by slight changes in and/or .
Hull operators on a category of spaces of continuous functions on Hausdorff spaces
Hurewicz properties, non distinguishing convergence properties and sequence selection properties
Hurewicz-Serre theorem in extension theory
The paper is devoted to generalizations of the Cencelj-Dranishnikov theorems relating extension properties of nilpotent CW complexes to their homology groups. Here are the main results of the paper: Theorem 0.1. Let L be a nilpotent CW complex and F the homotopy fiber of the inclusion i of L into its infinite symmetric product SP(L). If X is a metrizable space such that for all k ≥ 1, then and for all k ≥ Theorem 0.2. Let X be a metrizable space such that dim(X) < ∞ or X ∈ ANR. Suppose...
Hyper-extensions of -algebras
Hyperspace retractions for curves [Book]
Hyperspace selections avoiding points
We deal with a hyperspace selection problem in the setting of connected spaces. We present two solutions of this problem illustrating the difference between selections for the nonempty closed sets, and those for the at most two-point sets. In the first case, we obtain a characterisation of compact orderable spaces. In the latter case --- that of selections for at most two-point sets, the same selection property is equivalent to the existence of a ternary relation on the space, known as a cyclic...
Hyperspaces of CW-complexes
It is shown that the hyperspace of a connected CW-complex is an absolute retract for stratifiable spaces, where the hyperspace is the space of non-empty compact (connected) sets with the Vietoris topology.
Hyperspaces where convergence to a calm limit implies eventual shape equivalence