{"published":"2016-01-17 03:24:37","height":"190","image_url":null,"provider_url":"https://hatena.blog","title":"\u570f\u8ad6(9)\u3068\u30e2\u30ce\u30a4\u30c9","blog_url":"https://randommemory.hatenablog.com/","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F01%2F17%2F032437\" title=\"\u570f\u8ad6(9)\u3068\u30e2\u30ce\u30a4\u30c9 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","url":"https://randommemory.hatenablog.com/entry/2016/01/17/032437","provider_name":"Hatena Blog","categories":["math-category"],"type":"rich","width":"100%","author_name":"derwind","version":"1.0","description":"[Steve Awodey\u672c] 1.4 Examples of categories13. monoid\u306f\u5358\u4f4d\u5143\u3092\u6301\u3064\u534a\u7fa4 $ M $ \u306e\u3053\u3068\u3002\u3053\u308c\u3092\u4f7f\u3063\u3066\u3001category \u3092\u8003\u3048\u308b\u3002 objects: $M $ arrows: $x,y,z,\\cdots \\in M $ \u305d\u3057\u3066\u3001$1_M $ \u306b\u5bfe\u5fdc\u3059\u308b\u306e\u306f\u5358\u4f4d\u5143 $u$ \u3067\u3042\u308b\u3002\u2015\u2015\u2015 \u3068\u3044\u3046\u898b\u65b9\u306f\u3069\u3046\u3082\u9055\u548c\u611f\u304c\u3042\u308b\u306e\u3060\u304c...\u3002$x$ \u3092 $\\to_x$ \u306a\u3069\u3068\u66f8\u3044\u3066\u307f\u3088\u3046\u3002 $\\text{dom}(\\to_x) = M,\\ \\text{cod}(\\to_x) = M $ \u3092\u5272\u308a\u5408\u3066\u308b\u3002\u3064\u307e\u308a\u3001$x: M \\to_x M $ \u3067\u3042\u308b\u3002 \u2026","author_url":"https://blog.hatena.ne.jp/derwind/"}