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Minnesota Journal of Undergraduate Mathematics

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Published

2015-12-07

Issue

Vol. 1 No. 1

Section

Articles

How to Cite

Neaton, M. (2015). Minimal Coverings of Surfaces. Minnesota Journal of Undergraduate Mathematics, 1(1). Retrieved from https://pubs.lib.umn.edu/index.php/mjum/article/view/003

Minimal Coverings of Surfaces

Michael Neaton

University of Minnesota - Twin Cities

Abstract

An elementary question of manifolds is that of the covering number: the least number of category-specific balls needed to cover the manifold. The following work calculates this fundamental invariant for 2-manifolds. A brief review of the classification of 2-manifolds is initially provided, and then the details of calculation for all the surfaces follows.

Author Biography

Michael Neaton, University of Minnesota - Twin Cities

I have graduated with Bachelor of Science in Mathematics and Chemistry, and a Bachelor of Arts in Psychology.  I am currently pursuing graduate school options in Mathematics, hoping to land a career in academia.

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