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Topological structures between two closed surfaces inspired by an entrance exam problem
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Type
Conference paper
Citation
Yang, W.-C., Ho, W. K., & Dávila, G. (2024). Topological structures between two closed surfaces inspired by an entrance exam problem. In W.-C. Yang, D. Meade, & W. K. Ho (Eds.), Electronic Proceedings of the 29th Asian Technology Conference in Mathematics. Mathematics and Technology, LLC. https://atcm.mathandtech.org/EP2024/invited/22174.pdf
Abstract
We shall explore with technological tools on a problem we posed in [8], which originated from a college practice entrance question (see [3]). In this paper, we are investigating whether a certain closed surface ñ inspired by the aforementioned college exam problem and an a¢ ne transformation ñ is topologically equivalent to a sphere, utilizing the three dimensional visualization capabilities of computer technology to aid our initial analysis. This technological affordance not only makes our investigation accessible to readers with just an undergraduate mathematics background but also allows us to study this surface in detail, finally leading us to a rigorous solution to the problem. Our work highlights the essential role that technology plays in advancing and communicating mathematical research.
Date Issued
2024
Publisher
Mathematics and Technology, LLC