{"image_url":null,"description":"\u570f\u3068\u95a2\u624b\u306e\u5c0f\u30cd\u30bf\u3002boo \u306f bijecton on objects \u306e\u982d\u6587\u5b57\u3067\u3059\u3002\u4e8c\u6587\u5b57 bo \u3092\u4f7f\u3046\u3053\u3068\u3082\u3042\u308a\u307e\u3059\uff08nLab \u306f bo\uff09\u3002ff \u306f full and faithful \u306e\u982d\u6587\u5b57\u3067\u3059\u3002(boo, ff)-\u5206\u89e3\u3008(boo, ff)-factorization\u3009\u306f\u3001\u95a2\u624b $`F:\\mathcal{C}\\to \\mathcal{D}`$ \u3092\u3001boo\u90e8\u5206\u3068ff\u90e8\u5206\u306b\u6a19\u6e96\u7684\u306b\u5206\u89e3\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u5206\u89e3\u3092\u6b21\u306e\u3088\u3046\u306b\u66f8\u304d\u307e\u3057\u3087\u3046\u3002$`\\newcommand{\\cat}[1]{\\mathcal{#1}} \\newcommand{\\mrm}[1]{\\mathrm{#1}} \\newcomman\u2026","type":"rich","author_url":"https://blog.hatena.ne.jp/m-hiyama/","url":"https://m-hiyama.hatenablog.com/entry/2025/05/01/123033","version":"1.0","blog_url":"https://m-hiyama.hatenablog.com/","width":"100%","provider_name":"Hatena Blog","categories":["\u96d1\u8a18\uff0f\u5099\u5fd8"],"author_name":"m-hiyama","title":"(boo, ff)-\u5206\u89e3\u3068boo\u69cb\u6210","published":"2025-05-01 12:30:33","blog_title":"\u6a9c\u5c71\u6b63\u5e78\u306e\u30ad\u30de\u30a4\u30e9\u98fc\u80b2\u8a18 (\u306f\u3066\u306aBlog)","provider_url":"https://hatena.blog","height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fm-hiyama.hatenablog.com%2Fentry%2F2025%2F05%2F01%2F123033\" title=\"(boo, ff)-\u5206\u89e3\u3068boo\u69cb\u6210 - \u6a9c\u5c71\u6b63\u5e78\u306e\u30ad\u30de\u30a4\u30e9\u98fc\u80b2\u8a18 (\u306f\u3066\u306aBlog)\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>"}