immler at in.tum.de
Wed Apr 3 17:43:23 CEST 2019
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.
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.
>> On 3 Apr 2019, at 16:01, Fabian Immler <immler at in.tum.de> wrote:
>> Wouldn't that just be the function topology?
>> 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.
>>>> On 3 Apr 2019, at 15:53, Fabian Immler <immler at in.tum.de> 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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