A hemimetric on a set is a function such that
for all .
Hence, essentially is a metric which fails to satisfy symmetry and the property that distinct points have positive distance. A hemimetric induces a topology on in the same way that a metric does, a basis of open sets being
where is the -ball centered at .
|Date of creation||2013-03-22 14:24:12|
|Last modified on||2013-03-22 14:24:12|
|Last modified by||Koro (127)|