Details

Autor(en) / Beteiligte

• Kuenzi, Hans-Peter A

Titel

Iterations of quasi-uniform hyperspace constructions

Ist Teil von

• Acta mathematica Hungarica, 2006-11, Vol.113 (3), p.213-225

Erscheinungsjahr

2006

Link zum Volltext

Quelle

SpringerNature Journals

Beschreibungen/Notizen

• Given a quasi-uniform space (X,U), we study its Hausdorff quasi-uniformity U(H) on the set P(0)(X) of nonempty subsets of the set X. In particular we are concerned with the question whether at a certain finite stage iterations of the described Hausdorff hyperspace construction applied to two distinct quasi-uniformities on X will necessarily lead to hyperspaces carrying distinct induced topologies.