Representing Countable Groups by Homeomorphism Groups in Hilbert Space.
Inductive čech completeness and dimension
Homogeneous subsets of the real line
Relations between ß X / X and a Certain Subspace of ... X.
The superextension of the closed unit interval is homeomorphic to the Hilbert cube
Superextensions of metrizable continua are Hilbert cubes
A uniquely homogeneous space need not be a topological group
Characterization of a certain subset of the Cantor set
A boundary set for the Hilbert cube containing no arcs
An infinite-dimensional pre-Hilbert space all bounded linear operators of which are simple
On countable dense and strong n-homogeneity
We prove that if a space X is countable dense homogeneous and no set of size n-1 separates it, then X is strongly n-homogeneous. Our main result is the construction of an example of a Polish space X that is strongly n-homogeneous for every n, but not countable dense homogeneous.
On nowhere first-countable compact spaces with countable -weight
The minimum weight of a nowhere first-countable compact space of countable -weight is shown to be , the least cardinal for which the real line can be covered by many nowhere dense sets.
A countable dense homogeneous space with a dense rigid open subspace
We show that there is a Polish space which is countable dense homogeneous but contains a dense open rigid connected subset. This answers several questions of Fitzpatrick and Zhou.
On Countable Dense and Strong Local Homogeneity
We present an example of a connected, Polish, countable dense homogeneous space X that is not strongly locally homogeneous. In fact, a nontrivial homeomorphism of X is the identity on no nonempty open subset of X.
Totally divergent dense sets in Cantor cubes
On tho existence of weak P-points in compact F-spaces
Recent results on superextensions
On the extent of star countable spaces
For a topological property P, we say that a space X is star Pif for every open cover Uof the space X there exists Y ⊂ X such that St(Y,U) = X and Y has P. We consider star countable and star Lindelöf spaces establishing, among other things, that there exists first countable pseudocompact spaces which are not star Lindelöf. We also describe some classes of spaces in which star countability is equivalent to countable extent and show that a star countable space with a dense σ-compact subspace can have...
Hyperspaces of infinite-dimensional compacta
Extending monotone mappings
Page 1 Next