Measure preserving analytic diffeomorphisms of countable dense sets in and
Menger curves in Peano continua
Mesures de Gibbs sur les Cantor réguliers
Metric dimension and equivalent metrics
Metric Euclidean Projective and Topological Properties
Metric, Euclidean, Projective and Topological Properties
Metrische Dimensionsfunktionen.
Metrizability of certain Pixley-Roy spaces
Metrizability of trees
Metrization of uniform lattices
Minimal bi-Lipschitz embedding dimension of ultrametric spaces
We prove that an ultrametric space can be bi-Lipschitz embedded in if its metric dimension in Assouad’s sense is smaller than n. We also characterize ultrametric spaces up to bi-Lipschitz homeomorphism as dense subspaces of ultrametric inverse limits of certain inverse sequences of discrete spaces.
Modifications of the double arrow space and related Banach spaces C(K)
We consider the class of compact spaces which are modifications of the well known double arrow space. The space is obtained from a closed subset K of the unit interval [0,1] by “splitting” points from a subset A ⊂ K. The class of all such spaces coincides with the class of separable linearly ordered compact spaces. We prove some results on the topological classification of spaces and on the isomorphic classification of the Banach spaces .
Monomorphisms of semigroups of B-rigid local dendrites.
Monotone decompositions of continua
Monotone decompositions of continua into generalized arcs and simple closed curves
Monotone decompositions of continua irreducible about a finite subset
Monotone decompositions of hereditarily smooth continua
Monotone decompositions of hereditarily unicoherent continua via set functions and quasi-orders
Monotone extenders for bounded c-valued functions
Let c be the Banach space consisting of all convergent sequences of reals with the sup-norm, the set of all bounded continuous functions f: A → c, and the set of all functions f: X → c which are continuous at each point of A ⊂ X. We show that a Tikhonov subspace A of a topological space X is strong Choquet in X if there exists a monotone extender . This shows that the monotone extension property for bounded c-valued functions can fail in GO-spaces, which provides a negative answer to a question...
Monotone homogeneity of dendrites
Sufficient as well as necessary conditions are studied for a dendrite or a dendroid to be homogeneous with respect to monotone mappings. The obtained results extend ones due to H. Kato and the first named author. A number of open problems are asked.