AbstractFor every cardinal τ we construct a universal ultrametric space LWτ such that any ultrametric space of weight ≤τ can be embedded isometrically in LWτ. The weight of LWτ is τℵ0 and we show that for all cardinals τ≤c and for a wide class of cardinals >c the weight of a universal ultrametric space can not be smalle
The triangular inequality is a defining property of a metric space, while the stronger ultrametric i...
AbstractWe prove that for any finite ultrametric space M and any infinite-dimensional Banach space B...
Abstract. It is consistent with the axioms of set theory that for every metric space X which is isom...
AbstractFor every cardinal τ we construct a universal ultrametric space LWτ such that any ultrametri...
The category of 1-bounded compact ultrametric spaces and non-distance increasing functions (KUM&apos...
summary:We examine when a space $X$ has a zero set universal parametrised by a metrisable space of m...
The category of 1-bounded compact ultrametric spaces (KUMs) and non-distance increasing functions ha...
AbstractThe category of 1-bounded compact ultrametric spaces (KUMs) and non-distance increasing func...
AbstractA metric space is indivisible if for any partition of it into finitely many pieces one piece...
Abstract. We examine when a space X has a zero set universal parametrised by a metris-able space of ...
For every metric space ▫$X$▫ we introduce two cardinal characteristics ▫${rm cov}^flat(X)$▫ and ▫${r...
AbstractIn this paper we give some new constructions of Polish ultrametric Urysohn spaces and invest...
Using the notion of the subdominant ultrametric, the degree of ultrametricity D of a given metric sp...
This paper is an investigation of the universal separable metric space up to isometry U discovered b...
We show that the group of isometries of an ultrametric normed space can be seen as a kind of a fract...
The triangular inequality is a defining property of a metric space, while the stronger ultrametric i...
AbstractWe prove that for any finite ultrametric space M and any infinite-dimensional Banach space B...
Abstract. It is consistent with the axioms of set theory that for every metric space X which is isom...
AbstractFor every cardinal τ we construct a universal ultrametric space LWτ such that any ultrametri...
The category of 1-bounded compact ultrametric spaces and non-distance increasing functions (KUM&apos...
summary:We examine when a space $X$ has a zero set universal parametrised by a metrisable space of m...
The category of 1-bounded compact ultrametric spaces (KUMs) and non-distance increasing functions ha...
AbstractThe category of 1-bounded compact ultrametric spaces (KUMs) and non-distance increasing func...
AbstractA metric space is indivisible if for any partition of it into finitely many pieces one piece...
Abstract. We examine when a space X has a zero set universal parametrised by a metris-able space of ...
For every metric space ▫$X$▫ we introduce two cardinal characteristics ▫${rm cov}^flat(X)$▫ and ▫${r...
AbstractIn this paper we give some new constructions of Polish ultrametric Urysohn spaces and invest...
Using the notion of the subdominant ultrametric, the degree of ultrametricity D of a given metric sp...
This paper is an investigation of the universal separable metric space up to isometry U discovered b...
We show that the group of isometries of an ultrametric normed space can be seen as a kind of a fract...
The triangular inequality is a defining property of a metric space, while the stronger ultrametric i...
AbstractWe prove that for any finite ultrametric space M and any infinite-dimensional Banach space B...
Abstract. It is consistent with the axioms of set theory that for every metric space X which is isom...
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