Re: Topology -> Torsion???

"Shmuel (Seymour J.) Metz" <spamtrap@xxxxxxxxxxxxxxxxxxxxxxxxxx> writes:

In <ed93mi$59r$1@xxxxxxxxxxxxxxxx>, on 09/01/2006
at 06:57 AM, lrudolph@xxxxxxxxx (Lee Rudolph) said:

Having, as I do, an Ash number of 1, I will take it up
with the authors. Personally I don't believe that that's the
etymology; it seems much more likely to me (absent any actual
*evidence*) that when Betti, or whoever, first used the word
"torsion" (or a cognate) to refer to what we would now call an
element of finite order in a homology group, the image was merely
that of rolling something up tightly--sort of the same image that's
present in "cyclic".

Any connection <g> to the term torsion as applied to a connection?

I really doubt it. That seems to me to relate to the torsion of a
space curve, which really *is* twisting in a straightforward sense.

Lee Rudolph
.

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