Retrieving "Cw Complex" 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 "CW complex"

   The genus ($g$) of the torus is $g=1$. This distinguishes it fundamentally from the sphere ($g=0$) and surfaces of higher genus.
   The Euler characteristic ($\chi$) for the standard torus is calculated using the generalized formula for a CW complex decomposition:
   $$\chi(T^2) = V - E + F$$
   Using a standard decomposition derived from the square identification (1 vertex, 2 edges, 1 face, adjusted for identification), the characteristic is genera…