On Thin Continua

Hussam Abobaker; W. J. Charatonik

doi:10.1016/j.topol.2020.107408

On Thin Continua

Hussam Abobaker
, W. J. Charatonik

Missouri University of Science and Technology

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

Abstract

We introduce the notion of thin continua: a continuum is thin if every nondegenerate subcontinuum has nonempty interior. We prove that such continua are locally connected and we investigate their mapping properties. We also investigate universal thin dendrites of a given order.

Original language	American English
Journal	Topology and its Applications
Volume	290
DOIs	https://doi.org/10.1016/j.topol.2020.107408
State	Published - Mar 1 2021

Keywords

Dendrite
Thin Continuum
Universal

Disciplines

Mathematics

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https://doi.org/10.1016/j.topol.2020.107408

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title = "On Thin Continua",

abstract = " We introduce the notion of thin continua: a continuum is thin if every nondegenerate subcontinuum has nonempty interior. We prove that such continua are locally connected and we investigate their mapping properties. We also investigate universal thin dendrites of a given order.",

keywords = "Dendrite, Thin Continuum, Universal",

author = "Hussam Abobaker and Charatonik, \{W. J.\}",

year = "2021",

month = mar,

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doi = "10.1016/j.topol.2020.107408",

language = "American English",

volume = "290",

journal = "Topology and its Applications",

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T1 - On Thin Continua

AU - Abobaker, Hussam

AU - Charatonik, W. J.

PY - 2021/3/1

Y1 - 2021/3/1

N2 - We introduce the notion of thin continua: a continuum is thin if every nondegenerate subcontinuum has nonempty interior. We prove that such continua are locally connected and we investigate their mapping properties. We also investigate universal thin dendrites of a given order.

AB - We introduce the notion of thin continua: a continuum is thin if every nondegenerate subcontinuum has nonempty interior. We prove that such continua are locally connected and we investigate their mapping properties. We also investigate universal thin dendrites of a given order.

KW - Dendrite

KW - Thin Continuum

KW - Universal

UR - https://scholarsmine.mst.edu/math_stat_facwork/1095

UR - https://doi.org/10.1016/j.topol.2020.107408

U2 - 10.1016/j.topol.2020.107408

DO - 10.1016/j.topol.2020.107408

M3 - Article

VL - 290

JO - Topology and its Applications

JF - Topology and its Applications

ER -

On Thin Continua

Abstract

Keywords

Disciplines

Access to Document

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