On Marczewski sets and some ideals.
On Martin's axiom and perfect spaces
On matrix points in Čech--Stone compactifications of discrete spaces
We prove the existence of -matrix points among uniform and regular points of Čech–Stone compactification of uncountable discrete spaces and discuss some properties of these points.
On maximal and minimal fuzzy sets in I-topological spaces.
On maximal chains in the lattice of module topologies.
On Mazurkiewicz sets
A Mazurkiewicz set is a subset of a plane with the property that each straight line intersects in exactly two points. We modify the original construction to obtain a Mazurkiewicz set which does not contain vertices of an equilateral triangle or a square. This answers some questions by L.D. Loveland and S.M. Loveland. We also use similar methods to construct a bounded noncompact, nonconnected generalized Mazurkiewicz set.
On meager function spaces, network character and meager convergence in topological spaces
For a non-isolated point of a topological space let be the smallest cardinality of a family of infinite subsets of such that each neighborhood of contains a set . We prove that (a) each infinite compact Hausdorff space contains a non-isolated point with ; (b) for each point with there is an injective sequence in that -converges to for some meager filter on ; (c) if a functionally Hausdorff space contains an -convergent injective sequence for some meager filter...
On measurable sets in topological spaces
On measure repleteness and support for lattice regular measures.
On Measures Integrating All Functions of a Given Vector Lattice.
On medial properties of maps
On metric isomorphism of Morse dynamical systems
On metric preserving functions and infinite derivatives.
On metric products
On metric σ-discrete spaces
By studying dimensional types of metric scattered spaces, we consider the wider class of metric σ-discrete spaces. Applying techniques relevant to this wider class, we present new proofs of some embeddable properties of countable metric spaces in such a way that they can be generalized onto uncountable metric scattered spaces. Related topics are also explored, which gives a few new results.
On metrics of characteristic zero
We introduce and study the concept of characteristic for metrics. It turns out that metrizable spaces endowed with an L*-operator which admit a metric of characteristic zero play an important role in the theory of fixed points. We prove the existence of such spaces among infinite-dimensional linear topological spaces.
On metrizability of continuous images of compact ordered spaces
On metrizable abelian groups with a completeness-type property
On metrization of hyperspaces
On metrization of the uniformity of a product of metric spaces