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Old 12-10-2016, 12:42 AM
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Nate the Great Nate the Great is offline
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Join Date: Mar 2004
Location: Minneapolis, MN
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I have an interest in topology, so I've known about the Klein Bottle for awhile. Cliff Stoll makes glass Klein Bottles. They're beyond my budget for now, but eventually I hope to have one.

Anyway, let's get on to today's PNQ. On this page they show double and triple Klein Bottles. At least, they look like two and three Klein Bottles that have been linked up. Anyway...

PNQ: The page says that only one of these has the topological properties of a normal Klein Bottle (or as he puts it, "One of these is homeomorphic to a Klein Bottle. The other is homeomorphic to a Torus."). Which is which?
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