questions on kohonen's maps

[lwyse@bucasb.BU.EDU]

What does "ordering" mean when your projecting inputs to a lower dimensional
space? For example, the "Peano" type curves that result from a one-D
neighborhood learning a 2-D input distribution, it is obviously NOT 
true that nearby points in the input space maximally activate nearby
points on the neighborhood chain. In this case, it is not even clear
that "untangling" the neighborhood is of utmost importance, since a 
tangled chain can still do a very good job of divvying up the space
almost equally between its nodes. 

-lonce