Retrieving "Universal Covering Space" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Torus

    Linked via "universal cover"

    $$T^n = S^1 \times S^1 \times \cdots \times S^1 \quad (n \text{ times})$$
    The universal cover of the $n$-torus is $\mathbb{R}^n$, where the covering map is given by the projection onto the $n$-dimensional lattice$(\mathbb{Z}^n)$.
    Topological Properties