05/10/2021, 07:34 PM
(05/07/2021, 11:05 PM)JmsNxn Wrote: A little unused theorem on this forum, is classifying this superfunction as a flow.This gave me some Eureka moments... Thank you.
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Which can be referred to as the logarithm of the super function; or traditionally it's known as a generator of a flow map. Now, for every super function there is one logarithm, and for every logarithm there is one superfunction. There is no obvious connection between the logarithm and the initial function \( F(1,\xi) = f(\xi) \); but you can derive a formula for it.
Regards.
Here my I replied
Jabotinsky IL and Nixon's program: a first categorical foundation
But sadly I can't follow until the end... with Jordan curves and integrals.
@Leo I'm glad that you find my reply constructive. We are here to get better and I hope to learn and help others.
About the mutivalued vs Riemann. I was also thinking of Riemann surfaces as the right way to go... but I'm to ignorant and I feel the same doubt that maybe Leo is feeling.
How can we talk about composition of Riemann surfaces (objects of geometric nature)? Is it possible to talk about iteration of things you can't compose and do no form an (associative)algebraic structure of some kind?
@JmsNxn if the answer is yes then my mind could blow... that would be a serious paradigm shift for me.
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)