On the Strong Covering Property of Continua

J. J. Charatonik; W. J. Charatonik

On the Strong Covering Property of Continua

J. J. Charatonik
, W. J. Charatonik

Missouri University of Science and Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Topology Proceedings
State	Published - Jan 1 2000

Keywords

Closed Cover
Continuum
Covering Property
Hereditarily Indecomposable
Hyperspace
Terminal
Whitney Map

Disciplines

Mathematics
Statistics and Probability

Access to Document

http://topology.auburn.edu/tp/reprints/v25/

Cite this

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title = "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.",

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language = "American English",

journal = "Topology Proceedings",

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N2 - 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.

AB - 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.

KW - Closed Cover

KW - Continuum

KW - Covering Property

KW - Hereditarily Indecomposable

KW - Hyperspace

KW - Terminal

KW - Whitney Map

UR - https://scholarsmine.mst.edu/math_stat_facwork/388

UR - http://topology.auburn.edu/tp/reprints/v25/

M3 - Article

SN - 2331-1290

JO - Topology Proceedings

JF - Topology Proceedings

ER -

On the Strong Covering Property of Continua

Abstract

Keywords

Disciplines

Access to Document

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Cite this