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2011•Houston journal of mathematicsRequires access

Inverse limits with upper semi-continuous bonding functions and indecomposability

Scott Varagona

Open publisher page 22 citations

Abstract

In their recent work on inverse limits with upper semi-continuous bonding functions, Ingram and Mahavier give various sufficient conditions for such an inverse limit space to be a continuum. Here, we present additional conditions on the bonding functions that are sufficient conditions for the inverse limit to be a decomposable (or indecomposable) continuum. Several examples are given illustrating these results.

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What this paper is about

In their recent work on inverse limits with upper semi-continuous bonding functions, Ingram and Mahavier give various sufficient conditions for such an inverse limit space to be a continuum. Here, we present additional conditions on the bonding functions that are sufficient conditions for the inverse limit to be a decomposable (or indecomposable) continuum. Several examples are given illustrating these results.

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OpenAlex reports 22 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In their recent work on inverse limits with upper semi-continuous bonding functions, Ingram and Mahavier give various sufficient conditions for such an inverse limit space to be a continuum. Here, we present additional conditions on the bonding functions that are sufficient conditions for the inverse limit to be a decomposable (or indecomposable) continuum. Several examples are given illustrating these results.

Key concepts: Indecomposable module, Mathematics, Inverse limit, Inverse, Limit (mathematics), Pure mathematics, Mathematical analysis, Geometry

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