[net.math] Names for topological spaces

ken@turtlevax.UUCP (Ken Turkowski) (09/11/84)

In explaining the topology of color spaces used in computer graphics, I
was stuck on how to describe the topology of color maps as they are
generally used: i.e. random.  The other major topology used is that
used for grey-scale images, similar to that of the integers.  Is there
a name for the topology of random color maps?

Looking in my analysis book yields references to "discrete" and
"trivial" topologies, where the trivial topology (in the set X of
points) has only 0 (the null set) and X as open sets, and the discrete
topology has all subsets of X as open sets.  It seems as if these two
topologies have the same properties (i.e. information) as in the two
statements "everybody is different" and "everybody is the same".

P.S. Please excuse any imprecise terminology.
-- 
Ken Turkowski @ CADLINC, Palo Alto, CA
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