Researcher ORCID Identifier
0000-0003-3596-7505
Graduation Year
2023
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Francis Edward Su
Reader 2
Cosmin Pohoata
Terms of Use & License Information
Rights Information
© 2023 Kate Perkins
Abstract
My thesis unpacks the relationship between two discrete formulations of the Poincaré-Hopf index theorem. Chapter 1 introduces necessary definitions. Chapter 2 describes the discrete analogs and their differences. Chapter 3 contains a proof that one analog implies the other and chapter 4 contains a proof that the Poincaré-Hopf theorem implies the discrete analogs. Finally, chapter 5 presents still open questions and further research directions.
Recommended Citation
Perkins, Kate, "Discrete Analogues of the Poincaré-Hopf Theorem" (2023). HMC Senior Theses. 275.
https://scholarship.claremont.edu/hmc_theses/275
