REFLEXIVITY INDEX AND IRRATIONAL ROTATIONS

REFLEXIVITY INDEX AND IRRATIONAL ROTATIONS

We determine the reflexivity index of some closed set lattices by constructing maps relative to irrational rotations. For example, various nests of closed balls and some topological spaces, such as even-dimensional spheres and a wedge of two circles, have reflexivity index 2. We also show that a con...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Bulletin of the Australian Mathematical Society 2021-12, Vol.104 (3), p.493-505, Article 0004972721000162
Hauptverfasser: MA, BINGZHANG, HARRISON, K. J.
Format: Artikel
Sprache:eng
Schlagworte:
Closed balls
Hilbert space
Lattices
Mathematics
Physical Sciences
Reflexivity
Science & Technology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We determine the reflexivity index of some closed set lattices by constructing maps relative to irrational rotations. For example, various nests of closed balls and some topological spaces, such as even-dimensional spheres and a wedge of two circles, have reflexivity index 2. We also show that a connected double of spheres has reflexivity index at most 2.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972721000162