Talk:Coherency (homotopy theory)

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凝聚性(同倫論)

數學中 特别於同倫論與(高等)範疇論 凝聚性是 等 式或 圖須滿足當它們成立「直到同倫」或「直到同構」的 標準。 那倆前置形容詞諸如「偽的(pseudo-)」和「不嚴格 (lax-)」 被用來指向 等 式以 凝聚 方式被削弱之 事實;擧例 偽-函子、偽代數。 ^ 凝聚 同構 某些處境裏 同構以壹個凝聚方式須被選。這經常由選取 典範 同構能被達致。但在壹些情況 諸如 預 曡( prestack) 那兒能有若干典範 同構且其等當中那裏可能無壹顯然的選擇。 實務上 凝聚 同構以削弱 等 式出現;例如嚴格結合性由經 凝聚 同構結合性能被替代。擧例經此個過程 人們 182.239.120.216 (talk) 22:30, 10 April 2022 (UTC)[reply]

This seems to have been a rather benign technical comment on the page content; safely ignored given that it is stale for the last 3 years. Klbrain (talk) 14:01, 1 May 2025 (UTC)[reply]

For the benefit of other editors, here is an English translation.

"In mathematics, especially in homotopy theory and (higher) category theory, cohesion is a criterion that equations or graphs must satisfy if they hold "up to homotopy" or "up to isomorphism". The two prepositive adjectives such as "pseudo-" and "lax-" are used to refer to the fact that the equations are weakened in a cohesive way; examples are pseudo-functors, pseudoalgebras. ^ Cohesive Isomorphism In some situations isomorphism in a cohesive way must be chosen. This is often achieved by choosing a canonical isomorphism. But in some cases such as prestack there can be several canonical isomorphisms and among them there may not be an obvious choice. In practice, cohesive isomorphism appears as a weakening of equations; for example, strict associativity is replaced by associativity via cohesive isomorphism. For example, through this process, people"

So this seems to be actually a translation of the article. Not sure the point. -- Taku (talk) 04:26, 2 May 2025 (UTC)[reply]

Merger from coherence condition

Since the two artIcles (this one and coherence condition) are about the same topic, it doesn't seem to make much sense to have separate articles. Hence, I propose the merger. -- 16:26, 2 May 2025 (UTC) Taku (talk) 16:26, 2 May 2025 (UTC)[reply]