On a problem of Lelek concerning open mappings
On a question of Borsuk concerning non-continuous retracts II
On a question of Borsuk concerning non-continuous retracts I
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 shape characterization of some two-polyhedra
On a simply connected 1-dimensional continuum without the fixed point property
On a singular plane continuum
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 absolute fixed-point sets
On absolutely submetrizable spaces
We introduce a notion of absolute submetrizability (= ``every Tychonoff subtopology is submetrizable'') and investigate its behavior under basic topological operations. The main result is an example of an absolutely submetrizable space that contains an uncountable set of isolated points (hence the space is neither separable nor hereditarily Lindelöf). This example is used to show that absolute submetrizability is not preserved by some topological operations, in particular, by free sums.
On analytical dimension of rings of bounded uniformly continuous functions
On AP and WAP spaces
Several remarks on the properties of approximation by points (AP) and weak approximation by points (WAP) are presented. We look in particular at their behavior in product and at their relationships with radiality, pseudoradiality and related concepts. For instance, relevant facts are: (a) There is in ZFC a product of a countable WAP space with a convergent sequence which fails to be WAP. (b) over -compact space is AP. Therefore AP does not imply even pseudoradiality in function spaces, while...
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 atomic mappings
On Baire isomorphisms of non-metrizable compacta
On Blumberg type spaces
On Borel-measurable collections of countable-dimensional sets