Inverse Limits with Bonding Functions Whose Graphs Are Connected

W. J. Charatonik; Sahika Sahan

doi:10.1016/j.topol.2016.05.019

Inverse Limits with Bonding Functions Whose Graphs Are Connected

W. J. Charatonik
, Sahika Sahan

Missouri University of Science and Technology

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

Abstract

First, answering a question by Roskaric and Tratnik, we present inverse sequences of simple triods or simple closed curves with set-valued bonding functions whose graphs are arcs and the limits are n -point sets. Second, we present a wide class of zero-dimensional spaces that can be obtained as the inverse limits of arcs with one set-valued function whose graph is an arc.

Original language	American English
Journal	Topology and its Applications
Volume	210
DOIs	https://doi.org/10.1016/j.topol.2016.05.019
State	Published - Sep 1 2016

Keywords

Inverse limit
Set-valued functions
Zero-dimensional

Disciplines

Mathematics
Statistics and Probability

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10.1016/j.topol.2016.05.019License: Unspecified

https://doi.org/10.1016/j.topol.2016.05.019

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title = "Inverse Limits with Bonding Functions Whose Graphs Are Connected",

abstract = " First, answering a question by Roskaric and Tratnik, we present inverse sequences of simple triods or simple closed curves with set-valued bonding functions whose graphs are arcs and the limits are n -point sets. Second, we present a wide class of zero-dimensional spaces that can be obtained as the inverse limits of arcs with one set-valued function whose graph is an arc.",

keywords = "Inverse limit, Set-valued functions, Zero-dimensional",

author = "Charatonik, \{W. J.\} and Sahika Sahan",

year = "2016",

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AU - Charatonik, W. J.

AU - Sahan, Sahika

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Y1 - 2016/9/1

N2 - First, answering a question by Roskaric and Tratnik, we present inverse sequences of simple triods or simple closed curves with set-valued bonding functions whose graphs are arcs and the limits are n -point sets. Second, we present a wide class of zero-dimensional spaces that can be obtained as the inverse limits of arcs with one set-valued function whose graph is an arc.

AB - First, answering a question by Roskaric and Tratnik, we present inverse sequences of simple triods or simple closed curves with set-valued bonding functions whose graphs are arcs and the limits are n -point sets. Second, we present a wide class of zero-dimensional spaces that can be obtained as the inverse limits of arcs with one set-valued function whose graph is an arc.

KW - Inverse limit

KW - Set-valued functions

KW - Zero-dimensional

UR - https://scholarsmine.mst.edu/math_stat_facwork/861

UR - https://doi.org/10.1016/j.topol.2016.05.019

U2 - 10.1016/j.topol.2016.05.019

DO - 10.1016/j.topol.2016.05.019

M3 - Article

VL - 210

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Inverse Limits with Bonding Functions Whose Graphs Are Connected

Abstract

Keywords

Disciplines

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