A Hole in a Hole in a Hole - Numberphile
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Michael Spivak's "A Comprehensive Introduction to Differential Geometry" - he really means topology, I suspect, but... It says: "A classical theorem of topology states....blah blah blah. To which of these 'standard' surfaces are the following homeomorphic?" A hole in a hole in a hole. If I solve this, what is it? Well, I head over to the glass shop and, I said, "I can make that." So I made a hole in a hole in a hole. There's a hole... that... goes through a hole, that's in a hole. In the book it's in paper, here, it's glass. How do I simplify this to something that answer Spivak's question? So, let me take the inner hole and stretch it a little bit. [Glass sounds] Now, one of these holes is ...
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Michael Spivak's "A Comprehensive Introduction to Differential Geometry" - he really means topology, I suspect, but... It says: "A classical theorem of topology states....blah blah blah. To which of these 'standard' surfaces are the following homeomorphic?" A hole in a hole in a hole. If I solve this, what is it? Well, I head over to the glass shop and, I said, "I can make that." So I made a hole in a hole in a hole. There's a hole... that... goes through a hole, that's in a hole. In the book it's in paper, here, it's glass. How do I simplify this to something that answer Spivak's question? So, let me take the inner hole and stretch it a little bit. [Glass sounds] Now, one of these holes is ...
