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Old 2008-11-25, 17:24   #1
ewmayer
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Default Dilbert Spaces

I seem to recall these being defined as "A complete normed vector space with an inner product and a pointy-haired boss," but beyond that basic characterization, my recall is fuzzy.

Expert commentary and references in the mathematical literature would be appreciated.

Last fiddled with by ewmayer on 2008-11-25 at 17:25 Reason: Not to be confused with the more general "L-Bonian spaces"
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Old 2008-11-26, 15:16   #2
xilman
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Quote:
Originally Posted by ewmayer View Post
I seem to recall these being defined as "A complete normed vector space with an inner product and a pointy-haired boss," but beyond that basic characterization, my recall is fuzzy.

Expert commentary and references in the mathematical literature would be appreciated.
I thought a Dilbert space had to have a cubical boundary, which imposes topological constraints in addition to the ones you give.

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Old 2008-11-26, 17:13   #3
ewmayer
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Originally Posted by xilman View Post
I thought a Dilbert space had to have a cubical boundary, which imposes topological constraints in addition to the ones you give.
Ah yes, the well-known "Catbertian Space-filling Constraint" - thanks for remedying my omission thereof.

I also neglected to mention the famous

Wallycube N-Torus Food Conjecture:

Every food item or (for liquids) food container in a Wallycube is in the form of an N-Torus with N > 0. Examples: Donut (N = 1), Coffee Mug (N = 1), Pretzel (N = 1,2 or 3 depending on brand).

Last fiddled with by ewmayer on 2008-11-26 at 17:59
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