Note on metric-dependent dimension functions
Notes on characterization of paracompact frames
Notes on monotone Lindelöf property
We provide a necessary and sufficient condition under which a generalized ordered topological product (GOTP) of two GO-spaces is monotonically Lindelöf.
Notes on Retracts of Coset Spaces
We study retracts of coset spaces. We prove that in certain spaces the set of points that are contained in a component of dimension less than or equal to n, is a closed set. Using our techniques we are able to provide new examples of homogeneous spaces that are not coset spaces. We provide an example of a compact homogeneous space which is not a coset space. We further provide an example of a compact metrizable space which is a retract of a homogeneous compact space, but which is not a retract of...
Notes on topological games
Null sequences cellular decompositions of
Null-families of subsets of monotonically normal compacta
n-шейпы и n-когомотопические группы компактов
O dimenziji P-dm topoloških prostora
Obtaining inverse sequences for certain continua
On 2-ramification points of a dendroid
On a characterization of the unit interval in terms of clones
This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained.
On a class of indecomposable continua
On a class of real normed lattices
We say that a real normed lattice is quasi-Baire if the intersection of each sequence of monotonic open dense sets is dense. An example of a Baire-convex space, due to M. Valdivia, which is not quasi-Baire is given. We obtain that is a quasi-Baire space iff , is a pairwise Baire bitopological space, where , is a quasi-uniformity that determines, in . Nachbin’s sense, the topological ordered space .
On a class of topological spaces with a Scott sentence
On a compactification of the homeomorphism group of the pseudo-arc
A continuum means a compact connected metric space. For a continuum X, H(X) denotes the space of all homeomorphisms of X with the compact-open topology. It is well known that H(X) is a completely metrizable, separable topological group. J. Kennedy [8] considered a compactification of H(X) and studied its properties when X has various types of homogeneity. In this paper we are concerned with the compactification of the homeomorphism group of the pseudo-arc P, which is obtained by the method of...
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 family of dendrites.
On a metrization of the hyperspace of a metric space