Homotopically labile points of locally compact metric spaces
Homotopy 2-regular mappings whose inverses are open 3-cells
Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua
We describe the homotopy classes of self-homeomorphisms of solenoids and Knaster continua. In particular, we demonstrate that homeomorphisms within one homotopy class have the same (explicitly given) topological entropy and that they are actually semi-conjugate to an algebraic homeomorphism in the case when the entropy is positive.
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 curves
Conditions are investigated that imply noncontractibility of curves. In particular, a plane noncontractible dendroid is constructed which contains no homotopically fixed subset. A new concept of a homotopically steady subset of a space is introduced and its connections with other related concepts are studied.
Homotopy properties of decomposition spaces
Homotopy properties of pathwise connected continua
Homotopy separators and mappings into cubes
Homotopy types of one-dimensional Peano continua
Let X and Y be one-dimensional Peano continua. If the fundamental groups of X and Y are isomorphic, then X and Y are homotopy equivalent. Every homomorphism from the fundamental group of X to that of Y is a composition of a homomorphism induced from a continuous map and a base point change isomorphism.
Hopf-bifurcation in systems with spherical symmetry, Part II: Connecting orbits.
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...
Hopf's extension theorem in the theory of shape
Horizontal lift of tensor fields of type (1,1) from a manifold to its tangent bundle of higher order
How restrictive is topological dynamics?
Let be a permutation of an abstract set . In ZFC, we find a necessary and sufficient condition it terms of cardinalities of the -orbits that allows us to topologize as a topological dynamical system on a compact Hausdorff space. This extends an early result of H. de Vries concerning compact metric dynamical systems. An analogous result is obtained for -actions without periodic points.
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...