Yes, of course...I guess what I had in mind was a construction similar to the function topology, i.e., the topology generated by finite products of open sets.
But I didn't really think that one through, either.
Fabian On 4/3/2019 11:03 AM, Lawrence Paulson wrote:
No. The objects of the function topology do not have to be zero almost everywhere. Moreover, the norm for the function topology isn’t linear so you don’t get a real_normed_vector. LarryOn 3 Apr 2019, at 16:01, Fabian Immler <[email protected]> wrote: Wouldn't that just be the function topology? http://isabelle.in.tum.de/repos/isabelle/file/2b23dd163c7f/src/HOL/Analysis/Function_Topology.thy#l553 Fabian On 4/3/2019 10:59 AM, Lawrence Paulson wrote:Yes, I could do that. I was trying to figure out what the corresponding abstract topology should be, but failed. Such a thing must exist of course. LarryOn 3 Apr 2019, at 15:53, Fabian Immler <[email protected]> wrote: Given that there are several potential applications, I guess you could add it as a separate theory (Poly_Mapping_Normed_Vector_Space?) to HOL-Analysis?
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