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      <title>Szekeres · 数学物理</title>
      <link>https://limbo137.top</link>
      <description>最近的10条笔记 on Szekeres · 数学物理</description>
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    <title>Szekeres · Mathematical Physics</title>
    <link>https://limbo137.top/en/</link>
    <guid>https://limbo137.top/en/</guid>
    <description><![CDATA[ The language of mathematical physics begins with sets. Read Chapter 1 of Szekeres, “Sets and structures”, in paired Chinese and English pages. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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    <title>Szekeres · 数学物理</title>
    <link>https://limbo137.top/</link>
    <guid>https://limbo137.top/</guid>
    <description><![CDATA[ 数学物理的语言，从集合开始。 本阅读库从 Szekeres 第一章「集合与结构」出发，按原书顺序整理概念、定理、例子与练习。顶部的语言开关会切换到对应页面。 定理 蓝色卡片呈现结论，紧随其后的证明默认折叠。 例子 绿色卡片展示具体构造，保留原书编号。 练习 金色卡片区分随文练习与编号习题。 开始阅读第一章 →. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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    <title>1.7 Category theory</title>
    <link>https://limbo137.top/en/chapter-01/07-category-theory</link>
    <guid>https://limbo137.top/en/chapter-01/07-category-theory</guid>
    <description><![CDATA[  Mathematical structures generally fall into ‘categories’, such as sets, semigroups, groups, vector spaces, topological spaces, differential manifolds, etc. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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    <title>Chapter 1 · Sets and structures</title>
    <link>https://limbo137.top/en/chapter-01/</link>
    <guid>https://limbo137.top/en/chapter-01/</guid>
    <description><![CDATA[  Reading this chapter English source text with OCR repairs and explicit editorial notes. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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    <title>1.4 Mappings</title>
    <link>https://limbo137.top/en/chapter-01/04-mappings</link>
    <guid>https://limbo137.top/en/chapter-01/04-mappings</guid>
    <description><![CDATA[  Editorial note In Example 1.8 the fibre-to-class map is defined on the image \varphi(X); fibres of points outside the image are empty. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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    <title>1.5 Infinite sets</title>
    <link>https://limbo137.top/en/chapter-01/05-infinite-sets</link>
    <guid>https://limbo137.top/en/chapter-01/05-infinite-sets</guid>
    <description><![CDATA[  Editorial note The proof of Theorem 1.5 below retains the book’s binary-expansion argument and its known ambiguity; Problem 1.11 asks you to repair it. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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    <title>1.6 Structures</title>
    <link>https://limbo137.top/en/chapter-01/06-structures</link>
    <guid>https://limbo137.top/en/chapter-01/06-structures</guid>
    <description><![CDATA[  Editorial note A semigroup isomorphism must be bijective. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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    <title>1.1 Sets and logic</title>
    <link>https://limbo137.top/en/chapter-01/01-sets-and-logic</link>
    <guid>https://limbo137.top/en/chapter-01/01-sets-and-logic</guid>
    <description><![CDATA[  There are essentially two ways in which we can think of a set S. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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    <title>1.2 Subsets, unions and intersections</title>
    <link>https://limbo137.top/en/chapter-01/02-subsets-and-operations</link>
    <guid>https://limbo137.top/en/chapter-01/02-subsets-and-operations</guid>
    <description><![CDATA[  Editorial note Problems 1.5 and 1.8 (in the next section) contain printed errors. Problem 1.5 is corrected to an intersection on the right. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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    <title>1.3 Cartesian products and relations</title>
    <link>https://limbo137.top/en/chapter-01/03-products-and-relations</link>
    <guid>https://limbo137.top/en/chapter-01/03-products-and-relations</guid>
    <description><![CDATA[  Editorial note Equation (1.1) uses the standard Kuratowski pair here. The supplied PDF prints \{\{a,b\},a\}, which is not a generally valid encoding. ]]></description>
    <pubDate>Mon, 05 Oct 2026 20:41:41 GMT</pubDate>
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