A Guide to the Classification Theorem for Compact Surfaces

"A Guide to the Classification Theorem for Compact Surfaces" is a resource that typically aims to explain the classification of compact surfaces in a rigorous yet accessible manner. This subject is a significant part of topology, particularly in the study of 2-dimensional manifolds. The Classification Theorem states that every compact surface can be classified into one of the following categories: 1. **Orientable Surfaces:** - **Sphere:** A surface without boundary and a genus of 0.