Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10 5/3/83 based; site hou2d.UUCP
Path: utzoo!watmath!clyde!floyd!harpo!ulysses!mhuxl!houxm!hou2d!wbp
From: wbp@hou2d.UUCP (W.PINEAULT)
Newsgroups: net.ai
Subject: color junk
Message-ID: <225@hou2d.UUCP>
Date: Fri, 23-Mar-84 15:52:55 EST
Article-I.D.: hou2d.225
Posted: Fri Mar 23 15:52:55 1984
Date-Received: Sun, 25-Mar-84 09:52:56 EST
Organization: AT&T Bell Labs, Holmdel NJ
Lines: 16

Re: color junk
From: Wayne Pineault <hou2d!wbp>

	From a homology point of view a circle and a plane are not the
same, but from the view of coloring they are the same, since you pick the
point at infinity on the plane to map inside one of the regions on the
sphere.
	Also, for a long time a closed coloring formula has been known for a
sphere with any number of donut holes and mobius strips attached, as long
as it was not a sphere!  If you just plugged in 0 for a sphere the answer
came out to 4, but the argument did not work for this case!!!
	There is a Springer-Verlag series of mathematics, and I saw this
formula there, but I don't remember it.

					Wayne Pineault