Talk:Stereotype space

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This article was nominated for deletion on April 23, 2020. The result of the discussion was redirect to Reflexive space#Other types of reflexivity.

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Terminologies: limits and colimits

In the section "Category "Ste" of stereotype spaces", it seems that the author uses the term "limits" to denote direct limits, and "colimits" to denote inverse limits. This feels definitely awkward to most of the readers, because usually "limits" mean inverse limits and "colimits" mean direct limits. If there is a good reason for this reversed usage of terms, it should be at least stated explicitly. Otherwise, they should be corrected. — Preceding unsigned comment added by 99.76.231.95 (talk) 22:00, 18 January 2020 (UTC)[reply]

Yes, you are right. In the book by Borceaux limits and colimits are defined as you say. Excuse me, I'll correct this. Eozhik (talk) 12:06, 19 January 2020 (UTC)[reply]

Notability

I’m not sure if this notion is notable: as far as I can tell, this does not appear in standard textbooks in functional analysis. Sometimes the notability can be secured if there is sufficient literature behind the notion; I don’t know if that’s the case, as the article do not give non-primary sources. (There are some non-primary references but I don’t think they discuss “stereotype space”. —- Taku (talk) 17:07, 7 April 2020 (UTC)[reply]

Dear TakuyaMurata, you put several templates on articles that I edited and created with doubts about the notability of terms that I describe. Are you sure that your level of requirements is reasonable? Under your influence, I have added a secondary source, although I am not sure that it will be of much use since stereotype spaces are mentioned there only tangentially. Eozhik (talk) 22:22, 7 April 2020 (UTC)[reply]

As far as I understand, the book by Bogachev and Smolyanov must be considered as a tertiary source. Aren't the papers by other people the secondary sources? Eozhik (talk) 23:48, 7 April 2020 (UTC)[reply]

What we need is a reference that discusses stereotype spaces *in depth* by authors other than you. Is there any? E.g., some paper whose title includes the term “stereotype space”. Yes, that is the requirement of Wikipedia. In Wikipedia, we don’t cover topics that are considered by only one or few authors. We need a sufficient amount of evidence establishing that a stereotype space is the notion studied by several authors; e.g., there has been a workshop devoted to the concept. At least I couldn’t find such evidence. —- Taku (talk) 00:25, 8 April 2020 (UTC)[reply]

TakuyaMurata, this type of reflexivity is discussed since 1950ies, and up to now people publish papers on this topic. The term "stereotype space" is indeed used by not so many authors, namely (apart from me), by Shavgulidze, Kuznetsova, Aristov, Tabaldyev, Hernández, Trigos-Arrieta, that seems to be all. There are also papers that include terms "stereotype space", "stereotype algebra", or "stereotype group algebra" in the title, but all of them (as far as I know) belong to me. I can give them in the list of references. That is not enough? Eozhik (talk) 04:32, 8 April 2020 (UTC)[reply]