Metrizability of trees
Metrizability of -frames
Metrizabillity of certain quotient space
Metrization criteria for compact groups in terms of their dense subgroups
According to Comfort, Raczkowski and Trigos-Arrieta, a dense subgroup D of a compact abelian group G determines G if the restriction homomorphism Ĝ → D̂ of the dual groups is a topological isomorphism. We introduce four conditions on D that are necessary for it to determine G and we resolve the following question: If one of these conditions holds for every dense (or -dense) subgroup D of G, must G be metrizable? In particular, we prove (in ZFC) that a compact abelian group determined by all its...
Metrization of Compact Convex Sets.
Metrization of Moore spaces and generalized manifolds
Metrization of Quasi-Metric Spaces.
Metrization of uniform lattices
Metrization, paracompactness, and real-valued functions
Metrization, paracompactness, and real-valued functions II
Minimal points in product spaces.
Minimax theorems with applications to convex metric spaces
A minimax theorem is proved which contains a recent result of Pinelis and a version of the classical minimax theorem of Ky Fan as special cases. Some applications to the theory of convex metric spaces (farthest points, rendez-vous value) are presented.
Minimizing convex functions by continuous descent methods.
Miscenko's theorem for bitopological spaces.
Monotone union property in a class M of separable metric spaces
Movability and limits of polyhedra
We define a metric , called the shape metric, on the hyperspace of all non-empty compact subsets of a metric space X. Using it we prove that a compactum X in the Hilbert cube is movable if and only if X is the limit of a sequence of polyhedra in the shape metric. This fact is applied to show that the hyperspace , dS)2ℝ2
Multivalued fractals in b-metric spaces
Fractals and multivalued fractals play an important role in biology, quantum mechanics, computer graphics, dynamical systems, astronomy and astrophysics, geophysics, etc. Especially, there are important consequences of the iterated function (or multifunction) systems theory in several topics of applied sciences. It is known that examples of fractals and multivalued fractals are coming from fixed point theory for single-valued and multivalued operators, via the so-called fractal and multi-fractal...