Graduation Year
2006
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Francis Edward Su
Reader 2
Michael Orrison
Abstract
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.
Recommended Citation
Rauh, Nikolas, "An Exploration in Subtropical Algebra" (2006). HMC Senior Theses. 187.
https://scholarship.claremont.edu/hmc_theses/187
Picture of Nikolas Rauh
rauh-2006-prop.pdf (49 kB)
Thesis Proposal
rauh-2006-midyear.pdf (514 kB)
Midyear Report
rauh-2006-thesis-poster.pdf (1228 kB)
Poster
