Cleavability and scattered sets of non-trivial fibers

Cleavability and scattered sets of non-trivial fibers

In this paper, we provide a partial answer to a problem posed by A. V.Arhangel'skii; we show that if X is a compactum cleavable over a separable linearly ordered topological space (LOTS) Y such that for some continuous function f from X to Y, the set of points on which f is not injective is sca...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Levine, Shari
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - General Topology
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we provide a partial answer to a problem posed by A. V.Arhangel'skii; we show that if X is a compactum cleavable over a separable linearly ordered topological space (LOTS) Y such that for some continuous function f from X to Y, the set of points on which f is not injective is scattered, then X is a LOTS.
DOI:10.48550/arxiv.1108.3751