On Mahavier Products

W. J. Charatonik; Robert Paul Roe

doi:10.1016/j.topol.2014.02.008

On Mahavier Products

W. J. Charatonik
, Robert Paul Roe

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

Abstract

It was agreed by some at the 2012 Spring Topology and Dynamics Conference that the name "Inverse limit with upper semi-continuous bonding functions" should be replaced with a shorter name "Mahavier product". We generalize further by replacing directed set with an arbitrary pre-ordered set. We will present some basic properties of this new concept as well as some examples and applications. In particular, we show that inverse limits, Cartesian products, and arbitrary intersections are special cases of the Mahavier product.

Original language	American English
Pages (from-to)	92-97
Number of pages	6
Journal	Topology and its Applications
Volume	166
DOIs	https://doi.org/10.1016/j.topol.2014.02.008
State	Published - Mar 25 2013

Keywords

Mahavier product
Set valued
Upper semi continuous

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1016/j.topol.2014.02.008

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title = "On Mahavier Products",

abstract = " It was agreed by some at the 2012 Spring Topology and Dynamics Conference that the name {"}Inverse limit with upper semi-continuous bonding functions{"} should be replaced with a shorter name {"}Mahavier product{"}. We generalize further by replacing directed set with an arbitrary pre-ordered set. We will present some basic properties of this new concept as well as some examples and applications. In particular, we show that inverse limits, Cartesian products, and arbitrary intersections are special cases of the Mahavier product.",

keywords = "Mahavier product, Set valued, Upper semi continuous",

author = "Charatonik, \{W. J.\} and Roe, \{Robert Paul\}",

year = "2013",

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doi = "10.1016/j.topol.2014.02.008",

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AU - Roe, Robert Paul

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Y1 - 2013/3/25

N2 - It was agreed by some at the 2012 Spring Topology and Dynamics Conference that the name "Inverse limit with upper semi-continuous bonding functions" should be replaced with a shorter name "Mahavier product". We generalize further by replacing directed set with an arbitrary pre-ordered set. We will present some basic properties of this new concept as well as some examples and applications. In particular, we show that inverse limits, Cartesian products, and arbitrary intersections are special cases of the Mahavier product.

AB - It was agreed by some at the 2012 Spring Topology and Dynamics Conference that the name "Inverse limit with upper semi-continuous bonding functions" should be replaced with a shorter name "Mahavier product". We generalize further by replacing directed set with an arbitrary pre-ordered set. We will present some basic properties of this new concept as well as some examples and applications. In particular, we show that inverse limits, Cartesian products, and arbitrary intersections are special cases of the Mahavier product.

KW - Mahavier product

KW - Set valued

KW - Upper semi continuous

UR - https://scholarsmine.mst.edu/math_stat_facwork/879

UR - https://doi.org/10.1016/j.topol.2014.02.008

U2 - 10.1016/j.topol.2014.02.008

DO - 10.1016/j.topol.2014.02.008

M3 - Article

VL - 166

SP - 92

EP - 97

JO - Topology and its Applications

JF - Topology and its Applications

ER -

On Mahavier Products

Abstract

Keywords

Disciplines

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