Re: Clarification on definition of limits


Stephen J. Herschkorn wrote:
> Randy Poe wrote:
> >Does that mean that differentiation can be defined on
> >a discrete space?
> >
>
> IIRC, a discrete space is not normalizable, so I don't think one can
> come up with a useful definition of derivative. In any case, limits are
> not unique in a discrete space.
>
> What is the point of your question?

The point of my question was that I wanted to know the
answer.

> You surely already knew the answer.

Then allow me to disappoint you by my ignorance.

I was surprised by the notion that one can extend
the idea of limits and continuity to a discrete
space. So it made me wonder whether there was a way
to extend the notion of differentiability to general
spaces as well, in some way that I was not aware of.

- Randy

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