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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

An Exploration in Subtropical Algebra

Rauh, Nikolas 01 May 2006 (has links)
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.

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