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 2008-11-25, 17:24 #1 ewmayer ∂2ω=0     Sep 2002 República de California 2×13×443 Posts 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"
2008-11-26, 15:16   #2
xilman
Bamboozled!

"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across

5·2,053 Posts

Quote:
 Originally Posted by ewmayer 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.

Paul

2008-11-26, 17:13   #3
ewmayer
2ω=0

Sep 2002
República de California

2CFE16 Posts

Quote:
 Originally Posted by xilman 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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