Posted by **ml** on Monday, October 14, 2013 at 7:57pm.

The classification of closed orientable surfaces says that they are all spheres with a certain number of handles attached. For example, a sphere is a sphere with 0 handles. A torus is a sphere with one handle. A two holed torus is a sphere with two handles etc. How does one "attach a handle"? Think of puncturing a surface as "removing a lid". After all if you make a puncture, you can stretch out the hole into a square shape which you can think of as being the ghost of a panel in the construction of the original surface. So the puncture is removing a lid. What does "removing a lid" do to the Euler characteristic and number of boundary curves?

## Answer This Question

## Related Questions

- college math - The classification of closed orientable surfaces says that they ...
- Physics - Three identical conducting spheres initially have the following ...
- Urgent : Electricity and Magnetism - Two charged spheres are kept at a great ...
- physics/chem - n Fig. 21-41, three identical conducting spheres initially have ...
- Shegal - Three identical metal spheres are hung from a ceiling on rigid non-...
- science - two equally charged spheres, X and Y, repel each other with a force of...
- physics - consider three identical metal spheres a b and c. sphere a carries a ...
- college physics - Two solid spheres A and B are made from the same material. The...
- college physics - Two solid spheres A and B are made from the same material. The...
- physics - Two solid spheres A and B are made from the same material. The mass of...

More Related Questions