User talk:TakuyaMurata

See the page history to retrieve old threads.

Coherence theorem for bicategory and 2-Yoneda lemma

I added the Coherence theorem to the 2-category, but perhaps it would be better to move it to the application section of the 2-Yoneda lemma? Also, does 2-Yoneda lemma refer to the Yoneda lemma for bicategory or the Yoneda lemma for strict 2-category? SilverMatsu (talk) 03:24, 27 April 2025 (UTC)[reply]

First, I think the coherence theorem makes much more sense in the 2-category article since it's about comparing weak and strict versions. Second, if I am not mistaken, I think the 2-Yoneda should work both for strict and weak 2-categories but the article should probably clarify that (this is why the proof is sketch.) -- Taku (talk) 07:22, 27 April 2025 (UTC)[reply]

I see. Thank you for explaining it to me.--SilverMatsu (talk) 09:16, 27 April 2025 (UTC)[reply]

Just let you know, wikipedia has Tricategory and 3-category is a redirect to Strict higher categories. In other words, weak 3-category and strict 3-categories seem to be separate articles.SilverMatsu (talk) 10:19, 27 April 2025 (UTC)[reply]

Maybe we don’t need separate articles 3-categories (strict or weak), since they seem to be less prominent than 2-categories. I would suggest the merger (to higher category theory for instance) —- Taku (talk) 06:51, 28 April 2025 (UTC)[reply]

I agree to merge. I think Tetracategory can be merged as well. But, a better target for redirection might be Weak n-category. Of course, it is possible to merge the weak n-category into the higher category theory.SilverMatsu (talk) 15:14, 28 April 2025 (UTC)[reply]

I’m not too sure if everything should be merged into “higher category theory”. It seems an n-category (weak or strict) deserves its own article. Certainly, higher category theory isn’t just about the study of n-categories. —- Taku (talk) 16:19, 28 April 2025 (UTC)[reply]

The coherence theorem for tricategory states that tricategory is triequivalent to Gray-category. So the strict version of tricategory seems to be Gray-category. Also, the coherence theorem does not seem to have been found for n>3. See https://mathoverflow.net/questions/334849/coherence-theorem-for-tetracategories-weak-n-categories and Lack, Stephen (2011). "A Quillen model structure for Gray-categories". Journal of K-Theory. 8 (2): 183–221. arXiv:1001.2366. doi:10.1017/is010008014jkt127.SilverMatsu (talk) 06:18, 29 April 2025 (UTC)[reply]

Thank you. So on second thought, maybe it makes sense to have an article on 3-category just as we have one on 2-category. I have already begun the draft Draft:3-category, where we can discuss Gray tensor product and such too. Taku (talk) 07:06, 29 April 2025 (UTC)[reply]

Speedy deletion nomination of Walks on ordinals

If this is the first article that you have created, you may want to read the guide to writing your first article.
You may want to consider using the Article Wizard to help you create articles.

A tag has been placed on Walks on ordinals requesting that it be speedily deleted from Wikipedia. This has been done under section G4 of the criteria for speedy deletion, because the page appears to be a repost of material that was previously deleted following a deletion discussion, at [[Special:PermanentLink/1268286608#Walks on ordinals]]. When a page has substantially identical content to that of a page deleted after a discussion, and any changes in the content do not address the reasons for which the material was previously deleted, it may be deleted at any time.

If you think this page should not be deleted for this reason, you may contest the nomination by visiting the page and clicking the button labelled "Contest this speedy deletion". This will give you the opportunity to explain why you believe the page should not be deleted. However, be aware that once a page is tagged for speedy deletion, it may be deleted without delay. Please do not remove the speedy deletion tag from the page yourself, but do not hesitate to add information in line with Wikipedia's policies and guidelines. If the page is deleted, and you wish to retrieve the deleted material for future reference or improvement, then please contact the deleting administrator, or if you have already done so, you can place a request here. Valorrr ^{(lets chat)} 04:31, 27 April 2025 (UTC)[reply]

The Japanese Red Cross Kyushu International College of Nursing moved to draftspace

Thanks for your contributions to The Japanese Red Cross Kyushu International College of Nursing. Unfortunately, I do not think it is ready for publishing at this time because of the discussion outcome at Wikipedia:Articles for deletion/The Japanese Red Cross Kyushu International College of Nursing. I have converted your article to a draft which you can improve, undisturbed for a while.

Please see more information at Help:Unreviewed new page. When the article is ready for publication, please click on the "Submit your draft for review!" button at the top of the page OR move the page back. Dclemens1971 (talk) 01:58, 28 April 2025 (UTC)[reply]