Hey I didn't referenced rieman integral versus Lebesgue integral difference in A*B being not singular with also non rieman integratable coverage. I meant in Lebesgue integral wise it does not have a single answer :) 

I mean usually one expects convolution to have single answer but it does not have and changes according to sectioning mechanism even in lebesgue integral.

And found that very shocking when reading about such topics :) cause I expected A*B (convolve) would have single answer.



Slightly similiar to segment sectioning topic this is.  

I mean in mt this werent also told of but in another maths topic it were present.
Interesting to have such weirdity: to have a nonsingular lebesgue wise convolution oprtr. :) (but there are also A, Bs that have singular convolution result either but some of them have non singular answer, so it could be think as path lifting concept in homotopy concept that when A B has singular convolution result resembles degree of path lifting is 0 and is like a constant. But this non continous homotopic concept needs to be checked alike homotopy topic itself later and could be like adding some extended fregean lambda concept in path lifting wise such topics) 



So convolution is a kind of fuzzy concept then :) not having singular result :) 

They always took riemanwise and singular convolution result in defacto usage of that operator I seen. But actually it's a wrong commonly used simplification then. 
It's just among various versions of convolution operator a single version of it. So not exactly similiar to homotopy topic but convolution is actually not a function but a functional that slightly resembled homotopy topic. Hmm would check later this discussion again some time.


Is Int it a shock to see even the best integral gets fuzzy and shares a path lifting type dynamics underlyingly with contrast to the common knowledge that A*B is singular :). Actually it does not have singular value but is a path lifting alike concept.actually not like path lifting either but analogous to that concept. 

So this integrator with path lifting dynamics could be thought as a new lambda concept in terms of Fregean terminologies.(a new lambda semantics among common lambda semantics). 

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