Re: Cut a point into two - topological?
- From: "Hero" <Hero.van.Jindelt@xxxxxx>
- Date: 23 Feb 2007 14:13:37 -0800
Bob Kolker wrote:
Hero wrote:
How does topology defines a ,,cut"?
Can one cut a point into two?
No. A point has no parts to seperate.
Regard a point as a hole , so it can be "cut" into two just as several
holes can merge into one:
You have the pair of intervalls ( 3 , 4 ) , ( 4, 5 )
and this pair ( 5 + b , 8 + b) , ( 8 + b , 8.55 + b) .
In between each pair is just one point: 4 and 8 + b . Now let b move
to b = - 4 .
The points ( holes) 4 and ( 8 - b ) merge. The opposite process ( b
different from minus 4 ) creates two points again.
With friendly greetings
Hero
PS In fairy-tales a dragon-head can be cut into two too.
.
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