AlgTop21: The two-holed torus and 3-crosscaps surface

[TheMathLife]

You can take connected sums of Tori and Projective planes too can't you?

[njwildberger]

@TheMathLife Yes you can.

[TheMathLife]

@njwildberger Ok, because your theorem at 7:05 makes it look like you can only add the Tori and Planes, but not mix them. I love the series so far by the way. I loved Point Set topology but found Algebraic Topology very difficult, your lectures are helping me to appreciate the subject more!