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Martin Sleziak
Martin Sleziak
3:46 AM
specific-question This question has one of deprecated tags and it is also missing a top-level tag: How can the same polytope have three different volumes? However, I am not sure which tags to use.
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Q: How can the same polytope have three different volumes?

RMurphyI'm quite new to geometry and I came across the idea that the same convex polytope can have at least three different volumes. Consider the permutohedron, formed by the convex hull of the n! points obtained by permuting $(1, 2, ..., n)$. As the polytope lives on an (n-1) dimensional hyperplane...

measure-theory convex-polytopes geometry
 
 
2 hours later…
Martin Sleziak
Martin Sleziak
5:56 AM
@DavidRoberts Again, it might be just me, but some of the links you've edited do not really work.
To be more specific here mathoverflow.net/posts/66627/revisions you have linked to dauns01.math.tulane.edu/~tipler/theoryofeverything.pdf - I get error/warning "your connection is not private".
While dauns.math.tulane.edu/~tipler/theoryofeverything.pdf (with http rather than https) works fine.
 
David Roberts
David Roberts
6:51 AM
Gah, that's a problem with the people not using https properly, but I can fix that.
 
 
2 hours later…
Martin Sleziak
Martin Sleziak
8:24 AM
deleted-tag The tag k-theory was (manually) removed. See also here: chat.stackexchange.com/rooms/10243/conversation/…
 
 
9 hours later…
Martin Sleziak
Martin Sleziak
5:13 PM
I will point out that the tag (geometry) is deprecated on MO and that it is recommended that there should be at least one top-level tag. However, I am not sure which tags to choose here, so I'll leave this to more experienced users. — Martin Sleziak 22 secs ago
 

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