Chromatic Homotopy Theory
《Chromatic Homotopy Theory》 · 第 154、156 页 · Sections 6.1.2、6.1.4，genus 的命名及有限型曲面上的延伸
Let \(S_g\) be the connected sum \(S_g=T\#\cdots\#T\) of \(g\) tori \(T=S^1\times S^1\). By convention \(S_0=S^2\) is the sphere and \(S_1=T\) is the torus. The number \(g\) is the genus of the closed surface \(S_g\). […] Let \(g,b,p\geq0\) be three natural numbers. The surface of finite type \(S_{g,b,p}\) is the surface obtained from \(S_g\) by removing the interior of \(b\) disjoint discs and \(p\) points. […] We say that \(S_{g,b,p}\) has genus \(g\), has \(b\) boundary components, and \(p\) punctures.