English

Touching the $Z_2$ in Three-Dimensional Rotations

History and Overview 2016-07-21 v1 Algebraic Topology Group Theory

Abstract

A simple and self-contained proof is presented of the well-known fact that the fundamental group of SO(3) is Z2Z_2, using a relationship between closed paths in SO(3) and braids.

Keywords

Cite

@article{arxiv.math/0508203,
  title  = {Touching the $Z_2$ in Three-Dimensional Rotations},
  author = {Vesna Stojanoska and Orlin Stoytchev},
  journal= {arXiv preprint arXiv:math/0508203},
  year   = {2016}
}

Comments

10 pages, 8 figures