Barrett

Barrett, The Honors College at Arizona State University proudly showcases the work of undergraduate honors students by sharing this collection exclusively with the ASU community.

Barrett accepts high performing, academically engaged undergraduate students and works with them in collaboration with all of the other academic units at Arizona State University. All Barrett students complete a thesis or creative project which is an opportunity to explore an intellectual interest and produce an original piece of scholarly research. The thesis or creative project is supervised and defended in front of a faculty committee. Students are able to engage with professors who are nationally recognized in their fields and committed to working with honors students. Completing a Barrett thesis or creative project is an opportunity for undergraduate honors students to contribute to the ASU academic community in a meaningful way.

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Proofs and Generalizations of the Jordan Curve Theorem

Description
The Jordan curve theorem states that any homeomorphic copy of a circle into R2 divides the plane into two distinct regions. This paper reconstructs one proof of the Jordan curve theorem before turning its attention toward generalizations of the theorem and their proofs and counterexamples. We begin with an introduction…

The Jordan curve theorem states that any homeomorphic copy of a circle into R2 divides the plane into two distinct regions. This paper reconstructs one proof of the Jordan curve theorem before turning its attention toward generalizations of the theorem and their proofs and counterexamples. We begin with an introduction to elementary topology and the different notions of the connectedness of a space before constructing the first proof of the Jordan curve theorem. We then turn our attention to algebraic topology which we utilize in our discussion of the Jordan curve theorem’s generalizations. We end with a proof of the Jordan-Brouwer theorems, extensions of the Jordan curve theorem to higher dimensions.
ContributorsClark, Kacey (Author) / Kawski, Matthias (Thesis director) / Paupert, Julien (Committee member) / Department of Physics (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2020-05
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Cultural Aspects of Healthcare from an Alaska Native Perspective

Description
Healthcare encounters may often be experienced by patients as cultural experiences as much as they are medicinal, creating different expectations and perceptions for each individual seeking care. This project sought to understand the experiences that Alaska Natives have with healthcare and how those experiences influenced their care. It provided a…

Healthcare encounters may often be experienced by patients as cultural experiences as much as they are medicinal, creating different expectations and perceptions for each individual seeking care. This project sought to understand the experiences that Alaska Natives have with healthcare and how those experiences influenced their care. It provided a small window into the cultural relevance to healthcare for Alaska Natives by conducting interviews with participants from Sitka, Alaska. Interviews addressed three topics (or themes): linguistic and communication barriers, culturally specific care associated with individual tribes and patient-provider relationships. Although these topics, within the context of healthcare, have been well studied under the Native American - Alaska Native demographic umbrella, few projects target Alaska Natives specifically. This project was developed to specifically spotlight Alaska Natives to gain an understanding of their healthcare experiences.
ContributorsLarson, Skylar (Author) / McMullen, Mary (Thesis director) / Rowans, Leslie (Committee member) / College of Health Solutions (Contributor) / Barrett, The Honors College (Contributor)
Created2020-05