Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun A one-sided topological surface having no inside or outside. It is depicted in ordinary space by inserting the small open end of a tapered tube through the side of the tube and making it contiguous with the larger open end, although a true Klein bottle would not intersect itself.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics The
closed manifold obtained byidentifying theboundary components of theannulus so that the resultantsurface isnonorientable .
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- noun a closed surface with only one side; formed by passing one end of a tube through the side of the tube and joining it with the other end
Etymologies
from The American Heritage® Dictionary of the English Language, 4th Edition
[After Felix Klein, (1849–1925), German mathematician.]
from Wiktionary, Creative Commons Attribution/Share-Alike License
Named after German mathematician Felix Klein (1849-1925) who first described such a surface in 1882. Bottle seems to have come from a misreading or mistranslation of German Fläche ("surface") as Flasche ("bottle").
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