Decomposition spaces and shape in the sense of Fox
Decomposition spaces having arbitrarily small neighborhoods with 2-sphere boundaries II
Decompositions into submanifolds of fixed codimension
Decompositions of which satisfy a uniform Lipschitz condition are factors of
Decompositions of manifolds into codimension one submanifolds
Dendritic decompositions of generalized simple closed curves
Dimension and decompositions
Disconnecting Sets and Decomposition Theories
Dynamische Systeme und topologische Aktionen.
Equationally close subframes and representation of quotient spaces
Examples of disks in /G which cannot be approximated by P-liftable disks
Exotic ANR's via null decompositions of Hilbert cube manifolds
Factors of with infinitely many bad points
Finite spaces and the universal bundle of a group
We find sufficient conditions for a cotriad of which the objects are locally trivial fibrations, in order that the push-out be a locally trivial fibration. As an application, the universal -bundle of a finite group , and the classifying space is modeled by locally finite spaces. In particular, if is finite, then the universal -bundle is the limit of an ascending chain of finite spaces. The bundle projection is a covering projection.
Four mapping problems of Maćkowiak
In his paper "Continuous mappings on continua" [5], T. Maćkowiak collected results concerning mappings on metric continua. These results are theorems, counterexamples, and unsolved problems and are listed in a series of tables at the ends of chapters. It is the purpose of the present paper to provide solutions (three proofs and one example) to four of those problems.
Generalized manifolds ANR's and AR's and null decompositions of manifolds
Generation of coreflections in categories
Homotopy properties of decomposition spaces
Ideal Banach category theorems and functions
Based on some earlier findings on Banach Category Theorem for some “nice” -ideals by J. Kaniewski, D. Rose and myself I introduce the operator ( stands for “heavy points”) to refine and generalize kernel constructions of A. H. Stone. Having obtained in this way a generalized Kuratowski’s decomposition theorem I prove some characterizations of the domains of functions having “many” points of -continuity. Results of this type lead, in the case of the -ideal of meager sets, to important statements...
Invariant semiuniformities in coset spaces