{"categories":["math-category"],"author_name":"derwind","height":"190","url":"https://randommemory.hatenablog.com/entry/2016/02/13/214941","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","version":"1.0","type":"rich","description":"Example 1.8. Definition \u96c6\u5408 $A$ \u306b\u304a\u3044\u3066\u3042\u308b $a \\in A$ \u3092\u533a\u5225\u3059\u308b\u6642\u3001$(A,a)$ \u3092\u57fa\u70b9\u4ed8\u304d\u96c6\u5408 (pointed set) \u3068\u547c\u3076\u3002 \u57fa\u70b9\u4ed8\u304d\u96c6\u5408\u3092 objects \u3068\u3057\u3001\u57fa\u70b9\u3092\u4fdd\u6301\u3059\u308b\u3088\u3046\u306a\u5199\u50cf $f: (A,a) \\to (B,b),\\ f(a) = b$ \u3092 arrows \u3068\u3059\u308b\u3088\u3046\u306a category \u3092 $\\mathbf{Sets}_*$ \u3068\u66f8\u304f\u3002 Proposition \\begin{equation} \\mathbf{Sets}_* \\cong 1/\\mathbf{Sets} \\end{equation}\u3053\u3053\u3067 $1$ \u306f\u4efb\u610f\u306b\u3068\u3063\u305f\u2026","published":"2016-02-13 21:49:41","provider_name":"Hatena Blog","provider_url":"https://hatena.blog","blog_url":"https://randommemory.hatenablog.com/","title":"\u570f\u8ad6(34)\u3068\u57fa\u70b9\u4ed8\u304d\u96c6\u5408","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F02%2F13%2F214941\" title=\"\u570f\u8ad6(34)\u3068\u57fa\u70b9\u4ed8\u304d\u96c6\u5408 - \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>","author_url":"https://blog.hatena.ne.jp/derwind/","width":"100%"}