O dimenziji P-dm topoloških prostora
On a construction of perfectly normal spaces and its applications to dimension theory
On a construction of universal hereditarily indecomposable continua based on the Baire category
We give a proof of a theorem of Maćkowiak on the existence of universal n-dimensional hereditarily indecomposable continua, based on the Baire-category method.
On a question of de Groot and Nishiura
Let . Then cmp Zₙ < def Zₙ for n ≥ 5. This is the answer to a question posed by de Groot and Nishiura [GN] for n ≥ 5.
On a special metric and dimension
On a theorem of P. S. Aleksandrov
On a theorem of W. Hurewicz on mappings which lower dimension
On analytical dimension of rings of bounded uniformly continuous functions
On Applications of Bing-Krasinkiewicz-Lelek Maps
We characterize Peano continua using Bing-Krasinkiewicz-Lelek maps. Also we deal with some topics on Whitney preserving maps.
On approximate inverse systems and resolutions
On Baire isomorphisms of non-metrizable compacta
On Borel-measurable collections of countable-dimensional sets
On category-raising and dimension-raising open mappings with discrete fibers
On certain constructions in finitistic spaces.
On character of points in the Higson corona of a metric space
We prove that for an unbounded metric space , the minimal character of a point of the Higson corona of is equal to if has asymptotically isolated balls and to otherwise. This implies that under a metric space of bounded geometry is coarsely equivalent to the Cantor macro-cube if and only if and . This contrasts with a result of Protasov saying that under CH the coronas of any two asymptotically zero-dimensional unbounded metric separable spaces are homeomorphic.
On characterizations of classes of metrizable spaces that have transfinite dimension
On classification of weakly infinite-dimensional compacta
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 decomposition of projections of finite order
On dimension of locally pseudocompact groups and their quotients