The product of a normal space and a metric space need not be normal

The Wijsman structure of a quantale-valued metric space

We define and study a quantale-valued Wijsman structure on the hyperspace of all non-empty closed sets of a quantale-valued metric space. We show its admissibility and that the metrical coreflection coincides with the quantale-valued Hausdorff metric and that, for a metric space, the topological coreflection coincides with the classical Wijsman topology. We further define an index of compactnes...

An up-spectral space need not be A-spectral

An A-spectral space is a space such that its one-point compactification is a spectral space. An up-spectral space is defined to be a topological space X satisfying the axioms of a spectral space with the exception that X is not necessarily compact. This paper deals with the interactions between up-spectral spaces and A-spectral spaces. An example of up-spectral space which is not A-spectral is ...

A not on modular hyperconvex space

Color Is Not a Metric Space

Using a metric feature space for pattern recognition, data mining, and machine learning greatly simplifies the mathematics because distances are preserved under rotation and translation in feature space. A metric space also provides a “ruler”, or absolute measure of how different two feature vectors are. In the computer vision community color can easily be misstreated as a metric distance. This...

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.