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An Exploration in Subtropical Algebra

This paper explores some properties of subtropical arithmetic, which is the extended real line R = R ∪ {−∞, ∞} considered under the binary operations min(·, ·) and max(·, ·). We begin by examining some results in tropical polynomials. We then consider subtropical polynomials and subtropical geometry, drawing on tropical geometry for motivation. Last, we derive a complete classification of subtropical endomorphisms up to equivalence with respect to the coarsest topologies making these endomorphisms continuous.

Identiferoai:union.ndltd.org:CLAREMONT/oai:scholarship.claremont.edu:hmc_theses-1190
Date01 May 2006
CreatorsRauh, Nikolas
PublisherScholarship @ Claremont
Source SetsClaremont Colleges
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceHMC Senior Theses

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