純粋・応用数学（含むガロア理論）2

純粋・応用数学（含むガロア理論）2at MATH

純粋・応用数学（含むガロア理論）2 - 暇つぶし2ch202:limits in topological spaces (at least) can be viewed as category-theoretic limits. For now, see this math.sx answer.（下記）” （参考） https://ncatlab.org/nlab/show/convergence convergence Redirected from "limit of a sequence". (抜粋) 3. Properties Relation to limits in the sense of category theory The limits of category theory are a great generalization of an analogy with the limits discussed here. It turns out, however, that limits in topological spaces (at least) can be viewed as category-theoretic limits. For now, see this math.sx answer.（下記） https://math.stackexchange.com/questions/60590/category-theoretic-limit-related-to-topological-limit/62800#62800 Category-theoretic limit related to topological limit? This question came to me after I saw ( http://www.youtube.com/watch?v=be7rx29eMr4 ) a surprising fact that generalised metric spaces can be seen as categories enriched over preorder ([0,∞],=<). asked Aug 29 '11 at 22:44 Rafael Mr?en 2 Answers The connection is well-known (in particular I'm claiming no originality; I don't recall where I found this, though !): 略 answered Sep 8 '11 at 10:53 bonnbaki https://ncatlab.org/nlab/show/limit limit This entry is about the notion of “limit” in category theory. For the notion of the same name in analysis and topology see at limit of a sequence.

次ページ

続きを表示

1を表示