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From: williams@kirk.DEC (John Williams 223-3402)
Newsgroups: net.math
Subject: Manifold Partitions
Message-ID: <107@decwrl.UUCP>
Date: Fri, 30-Nov-84 11:44:41 EST
Article-I.D.: decwrl.107
Posted: Fri Nov 30 11:44:41 1984
Date-Received: Sun, 2-Dec-84 03:37:43 EST
Sender: daemon@decwrl.UUCP
Organization: DEC Engineering Network
Lines: 24



	There is one I can think of off hand. This is a case of 
reducing the dimensions and working from there. This will 
describe an infinite two dimensional surface split into two 
infinite surfaces by a finite line. Imagine an infinitely long 
cylinder with a line going laterally around the circumference to 
form a circle. Now translate the cylinder in a manner similar to 
how you would translate a sphere into a finite yet unbounded 
space. You will end up with a spacial manifold that is finite in 
two dimensions, yet infinite in the third. The plane will align 
with the two finite dimensions. It should be noted that this has 
not been observed in our known universe. Another example might be 
to have an infinitely long corridor with wrap around on the 
sides to form a two toroid universe. If the plane is properly 
aligned, it will wrap around onto itself.

					----{ john williams }----

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