On the Strong Covering Property of Continua

Abstract

The concept of a minimal closed cover of a con- tinuum has been introduced and studied in [11]. We provide a further investigation of this notion. In particular, we show connections with several related notions and answer questions in [11] (concerning hereditarily indecomposable continua and hereditarily locally connected ones). Using the concept we definene the strong covering property of continua and study its connections with related concepts.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Closed Cover; Continuum; Covering Property; Hereditarily Indecomposable; Terminal; Whitney Map; Hyperspace

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2000 Auburn University, All rights reserved.

Publication Date

01 Jan 2000

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