{"height":"190","published":"2016-01-16 19:49:30","author_name":"derwind","author_url":"https://blog.hatena.ne.jp/derwind/","version":"1.0","description":"[Steve Awodey\u672c] 1.4 Examples of categories7. \u524d\u9806\u5e8f(preorder)\u3068\u306f\u96c6\u5408 $P$ \u3067\u3042\u3063\u3066\u53cd\u5c04\u7684\u304b\u3064\u63a8\u79fb\u7684\u306a\u4e8c\u9805\u95a2\u4fc2 $p \\le q$ \u3092\u6301\u3064\u3082\u306e\u3067\u3042\u308b: \u3064\u307e\u308a$a \\le a$ \u304a\u3088\u3073 $a \\le b$ \u304b\u3064 $b \\le c$ \u306e\u6642 $a \\le c$ \u304c\u6210\u7acb\u3059\u308b\u3088\u3046\u306a\u3082\u306e\u3067\u3042\u308b\u3002\u3069\u306e\u3088\u3046\u306a\u524d\u9806\u5e8f $P$ \u3082\u6b21\u306e\u3084\u308a\u304b\u305f\u3067 category \u3068\u898b\u505a\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u3064\u307e\u308a\u3001$P$ \u306e\u5143\u3092 objects \u3068\u8003\u3048\u3001\u552f1\u3064\u306e arrow \u3092 \\begin{equation} a \\to b \\hspace{1em}\\text{if and\u2026","url":"https://randommemory.hatenablog.com/entry/2016/01/16/194930","blog_url":"https://randommemory.hatenablog.com/","type":"rich","categories":["math-category"],"provider_url":"https://hatena.blog","title":"\u570f\u8ad6(6)","width":"100%","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F01%2F16%2F194930\" title=\"\u570f\u8ad6(6) - \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","provider_name":"Hatena Blog"}