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A poset S with slices B,C (disjoint subsets of S) is a sandwich if for each s in S there's b,c in B,C with b≤s≤c. A hoagieomorphism between sandwiches S,W maps slices of S to slices of W. I will not be taking questions. @StevenXClontz/1454931726489227264Permalink On twitter.com
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Application: A compact LOTS is a sandwich, with slices max and min. Every homeomorphism is a hoagieomorphism.On twitter.com
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Application: hot dogs and hamburgers are hoagieomorphic. The bun of the hot dog can be partitioned into two slices with the frank and toppings between them. The two bun halves of the burger are slices, with patty and toppings between them.Permalink On twitter.com
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Application: an open faced sandwich (one slice is the empty set) and two slice sandwich are NOT hoagieomorphic. (I mean if you assume I meant bijectively when I said "map" above I guess lol.)Permalink On twitter.com
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Anyway I'm now founding the Journal of #HoagieHomies, all submissions are limited to 280 characters.Permalink On twitter.com