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逗號范疇與 universal arrows

2023-04-15 22:05 作者:我真的不懂代數(shù)  | 我要投稿

拙作抽象代數(shù)筆記的一部分,感覺有點意思%25%E7%BB%9D%E5%AF%B9%E5%80%BC%0A%5Cnewcommand%7B%5Cabs%7D%5B1%5D%7B%5Cleft%20%7C%20%231%20%5Cright%20%7C%20%7D%0A%25%E8%8C%83%E6%95%B0%0A%5Cnewcommand%7B%5Cnorm%7D%5B1%5D%7B%5Cleft%20%5C%7C%20%231%20%5Cright%20%5C%7C%20%7D%0A%25%E5%86%85%E7%A7%AF%0A%5Cnewcommand%7B%5Cinprod%7D%5B2%5D%7B%20%5Cleft(%20%231%20%2C%20%232%20%5Cright)%20%7D%0A%25%E5%BC%A0%E6%88%90%E7%A9%BA%E9%97%B4%0A%5Cnewcommand%7B%5CSpan%7D%5B1%5D%7B%20%5Cmathrm%7B%20span%20%7D%20%5Cleft(%20%231%20%5Cright)%7D%0A%25%20identity%20map%0A%5Cnewcommand%7B%5Cid%7D%7B%5Cmathrm%7Bid%7D%7D%0A%0A%25%E5%B8%B8%E7%94%A8%E7%9A%84%E6%95%B0%E7%B3%BB%0A%5Cnewcommand%7B%5CZ%7D%7B%5Cmathbb%7BZ%7D%7D%0A%5Cnewcommand%7B%5CZplus%7D%7B%5Cmathbb%7BZ%7D_%2B%7D%0A%5Cnewcommand%7B%5CZge%7D%7B%5Cmathbb%7BZ%7D_%7B%5Cge%200%7D%7D%0A%25%5Cnewcommand%7B%5CC%7D%7B%5Cmathbb%7BC%7D%7D%0A%5Cnewcommand%7B%5CN%7D%7B%5Cmathbb%7BN%7D%7D%0A%5Cnewcommand%7B%5CR%7D%7B%5Cmathbb%7BR%7D%7D%0A%5Cnewcommand%7B%5CRn%7D%7B%5Cmathbb%7BR%7D%5E%7Bn%7D%7D%0A%5Crenewcommand%7B%5CH%7D%7B%5Cmathbb%7BH%7D%7D%0A%0A%25%E5%B8%B8%E7%94%A8%E7%9A%84%E5%A4%A7%E9%9B%86%E5%90%88%0A%5Cnewcommand%7B%5CmcB%7D%7B%5Cmathcal%7BB%7D%7D%0A%5Cnewcommand%7B%5CmcC%7D%7B%5Cmathcal%7BC%7D%7D%0A%5Cnewcommand%7B%5CmcL%7D%7B%5Cmathcal%7BL%7D%7D%0A%5Cnewcommand%7B%5CmcR%7D%7B%5Cmathcal%7BR%7D%7D%0A%0A%25mathcal%20%E5%AD%97%E4%BD%93%0A%5Cnewcommand%7B%5CcB%7D%7B%5Cmathcal%7BB%7D%7D%0A%5Cnewcommand%7B%5CcI%7D%7B%5Cmathcal%7BI%7D%7D%0A%5Cnewcommand%7B%5CcR%7D%7B%5Cmathcal%7BR%7D%7D%0A%5Cnewcommand%7B%5CcT%7D%7B%5Cmathcal%7BT%7D%7D%0A%5Cnewcommand%7B%5CcS%7D%7B%5Cmathcal%7BS%7D%7D%0A%0A%25mathbf%20%E5%AD%97%E4%BD%93%0A%5Cnewcommand%7B%5CbfL%7D%7B%5Cmathbf%7BL%7D%7D%0A%5Cnewcommand%7B%5CbfT%7D%7B%5Cmathbf%7BT%7D%7D%0A%5Cnewcommand%7B%5CbfS%7D%7B%5Cmathbf%7BS%7D%7D%0A%0A%25%E5%BE%AE%E5%88%86%E7%AE%97%E5%AD%90%0A%5Cnewcommand%7B%5Cp%7D%5B2%5D%7B%5Cfrac%7B%5Cpartial%20%231%7D%7B%5Cpartial%20%232%7D%7D%0A%0A%25%E7%A7%AF%E5%88%86%E7%AE%97%E5%AD%90%0A%5Cnewcommand%7B%5Cintab%7D%7B%5Cint%5E%7Bb%7D_%7Ba%7D%7D%0A%0A%25%E6%B1%82%E5%92%8C%0A%5Cnewcommand%7B%5CsumZero%7D%7B%5Csum_%7Bj%20%3D%200%7D%5E%7Bn%20-%201%7D%7D%0A%5Cnewcommand%7B%5CsumZeroA%7D%7B%5Csum_%7Bj%20%3D%201%7D%5E%7Bn%20-%201%7D%7D%0A%0A%5Cnewcommand%7B%5CsumInf%7D%7B%5Csum_%7Bn%20%3D%200%7D%5E%7B%5Cinfty%7D%7D%0A%5Cnewcommand%7B%5CsumnZeroInf%7D%7B%5Csum_%7Bn%20%3D%200%7D%5E%7B%5Cinfty%7D%7D%0A%0A%5Cnewcommand%7B%5CsumkZeroN%7D%7B%5Csum_%7Bk%20%3D%200%7D%5E%7BN%7D%7D%0A%5Cnewcommand%7B%5CsumkZeron%7D%7B%5Csum_%7Bk%20%3D%200%7D%5E%7Bn%7D%7D%0A%5Cnewcommand%7B%5CsumkZerom%7D%7B%5Csum_%7Bk%20%3D%200%7D%5E%7Bm%7D%7D%0A%5Cnewcommand%7B%5CsumkZerona%7D%7B%5Csum_%7Bk%20%3D%200%7D%5E%7Bn%20-%201%7D%7D%0A%5Cnewcommand%7B%5Csumkn%7D%7B%5Csum_%7Bk%20%3D%201%7D%5E%7Bn%7D%7D%0A%5Cnewcommand%7B%5Csumkm%7D%7B%5Csum_%7Bk%20%3D%201%7D%5E%7Bm%7D%7D%0A%5Cnewcommand%7B%5CsumkOneNa%7D%7B%5Csum_%7Bk%20%3D%201%7D%5E%7Bn%20-%201%7D%7D%0A%0A%5Cnewcommand%7B%5Csumjna%7D%7B%5Csum_%7Bj%20%3D%201%7D%5E%7Bn%20-%201%7D%7D,于是就發(fā)上來了……主要的參考是:

[1] 李文威. 代數(shù)學方法. 卷1.

[2]?James R. Munkres. Topology.

[3]?S. Mac Lane. GTM5.

歡迎一切批評指正、切磋交流。

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2023/4/18 更新:改了一些筆誤,增加了 Stone-Cech 緊致化這個例子。


逗號范疇與 universal arrows的評論 (共 條)

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