Add to ORKGWe consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ultrametrics defined on nonempty closed subsets of a compact zero-dimensional metrizable space. The main result states that there exists a continuous extension operator that preserves the maximum operation. This extension can also be chosen so that it preserves the Assouad dimension
We first prove that for a metrizable space $X$, for a closed subset $F$ whose complement is zero-dim...
The category of 1-bounded compact ultrametric spaces and non-distance increasing functions (KUM's) h...
The paper is organized into three sections. In Section 1 we utilize a proof by E. Michael of the Are...
summary:We consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ...
summary:We consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ...
summary:We consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ...
summary:The problem of continuous simultaneous extension of all continuous partial ultrametrics defi...
summary:The problem of continuous simultaneous extension of all continuous partial ultrametrics defi...
summary:We consider the problem of simultaneous extension of fuzzy ultrametrics defined on closed su...
summary:We consider the problem of simultaneous extension of fuzzy ultrametrics defined on closed su...
Abstract. Ultrametric spaces are characterized (among all metric spaces) in aspects of extending of ...
ABSTRACT. The main result is an extension theorem (Theorem 1.4) which says that every continuous map...
Abstract. For a metric space X let Cvc(X) (that is, the set of all graphs of real-valued continuous ...
The category of 1-bounded compact ultrametric spaces and non-distance increasing functions (KUM&apos...
textabstractA generalized ultrametric space is an ordinary ultrametric space in which the distance n...
We first prove that for a metrizable space $X$, for a closed subset $F$ whose complement is zero-dim...
The category of 1-bounded compact ultrametric spaces and non-distance increasing functions (KUM's) h...
The paper is organized into three sections. In Section 1 we utilize a proof by E. Michael of the Are...
summary:We consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ...
summary:We consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ...
summary:We consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ...
summary:The problem of continuous simultaneous extension of all continuous partial ultrametrics defi...
summary:The problem of continuous simultaneous extension of all continuous partial ultrametrics defi...
summary:We consider the problem of simultaneous extension of fuzzy ultrametrics defined on closed su...
summary:We consider the problem of simultaneous extension of fuzzy ultrametrics defined on closed su...
Abstract. Ultrametric spaces are characterized (among all metric spaces) in aspects of extending of ...
ABSTRACT. The main result is an extension theorem (Theorem 1.4) which says that every continuous map...
Abstract. For a metric space X let Cvc(X) (that is, the set of all graphs of real-valued continuous ...
The category of 1-bounded compact ultrametric spaces and non-distance increasing functions (KUM&apos...
textabstractA generalized ultrametric space is an ordinary ultrametric space in which the distance n...
We first prove that for a metrizable space $X$, for a closed subset $F$ whose complement is zero-dim...
The category of 1-bounded compact ultrametric spaces and non-distance increasing functions (KUM's) h...
The paper is organized into three sections. In Section 1 we utilize a proof by E. Michael of the Are...