The following three pieces of information completely determine the homeomorphic type of a surface (Massey 1996):
1. Orientability,
2. Number of boundary components,
The following three pieces of information completely determine the homeomorphic type of a surface (Massey 1996):
1. Orientability,
2. Number of boundary components,
Weisstein, Eric W. "Homeomorphic Type." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HomeomorphicType.html