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.
Published
2015-12-07
How to Cite
NEATON, Michael. Minimal Coverings of Surfaces. Minnesota Journal of Undergraduate Mathematics, [S.l.], v. 1, n. 1, dec. 2015. ISSN 2378-5810. Available at: <https://mjum.math.umn.edu/index.php/mjum/article/view/003>. Date accessed: 25 sep. 2020.
Section
Articles