Add to ORKGLet us consider a positive-dimensional metric space, i.e. at some point there is no clopen local base. We construct a family of size continuum of Borel subsets of the metric space so that any two sets are incomparable with respect to continuous reducibility.
We first show that in the function realizability topos every metric space is separable, and every ob...
A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of ...
A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of ...
ABSTRACT. The main result is an extension theorem (Theorem 1.4) which says that every continuous map...
Given a function f defined on a metric space X, we denote by 6 the set of distancesf 6 = {dist(x,x&a...
Given a function f defined on a metric space X, we denote by 6 the set of distancesf 6 = {dist(x,x&a...
Abstract. An internal characterization of metric spaces which are absolute Borel sets of multiplicat...
It is shown that given a metric space $X$ and a $\sigma$-finite positive regular Borel measure $\mu$...
Abstract. We show that a metrizable space Y is completely metrizable if there is a continuous surjec...
The theorem proven here is that every compact metric continuum is a continuous image of some heredit...
AbstractWe show that a metrizable space Y is completely metrizable if there is a continuous surjecti...
AbstractResolvability of spaces whose extent (spread) is less than the dispersion character is inves...
We study Borel subsets of the real line up to continuous reducibility. We firstly show that every qu...
AbstractWe give three examples of metric spaces where the inductive dimensions disagree. The two mai...
Abstract. We prove that every homogeneous continuum is an open retract of a non-metric homogeneous i...
We first show that in the function realizability topos every metric space is separable, and every ob...
A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of ...
A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of ...
ABSTRACT. The main result is an extension theorem (Theorem 1.4) which says that every continuous map...
Given a function f defined on a metric space X, we denote by 6 the set of distancesf 6 = {dist(x,x&a...
Given a function f defined on a metric space X, we denote by 6 the set of distancesf 6 = {dist(x,x&a...
Abstract. An internal characterization of metric spaces which are absolute Borel sets of multiplicat...
It is shown that given a metric space $X$ and a $\sigma$-finite positive regular Borel measure $\mu$...
Abstract. We show that a metrizable space Y is completely metrizable if there is a continuous surjec...
The theorem proven here is that every compact metric continuum is a continuous image of some heredit...
AbstractWe show that a metrizable space Y is completely metrizable if there is a continuous surjecti...
AbstractResolvability of spaces whose extent (spread) is less than the dispersion character is inves...
We study Borel subsets of the real line up to continuous reducibility. We firstly show that every qu...
AbstractWe give three examples of metric spaces where the inductive dimensions disagree. The two mai...
Abstract. We prove that every homogeneous continuum is an open retract of a non-metric homogeneous i...
We first show that in the function realizability topos every metric space is separable, and every ob...
A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of ...
A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of ...