23 lines
969 B
Org Mode
23 lines
969 B
Org Mode
:PROPERTIES:
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:ID: 897bfc9d-94ce-4c58-8d21-93f13372b17b
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:END:
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#+title: Monomorphisms and epimorphisms
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In [[id:90f23e03-f746-42cb-862f-1af2d4bde3cc][category theory]], *monomorphisms* and *epimorphisms* are types of cancellative morphisms generalising injective and surjective functions, respectively.[fn:1]
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\begin{tikzcd}
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% https://q.uiver.app/#q=WzAsNixbMCwwLCJYIl0sWzEsMCwiWSJdLFsyLDAsIloiXSxbMSwxLCJZIl0sWzIsMSwiWiJdLFswLDEsIlgiXSxbMCwxLCJnXzEiLDAseyJvZmZzZXQiOi0yfV0sWzAsMSwiZ18yIiwyLHsib2Zmc2V0IjoyfV0sWzEsMiwiZiIsMl0sWzMsNCwiZ18xIiwwLHsib2Zmc2V0IjotMn1dLFszLDQsImdfMiIsMix7Im9mZnNldCI6Mn1dLFs1LDMsImYiLDJdXQ==
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X & Y & Z \\
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X & Y & Z
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\arrow["{g_1}", shift left=2, from=1-1, to=1-2]
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\arrow["{g_2}"', shift right=2, from=1-1, to=1-2]
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\arrow["f"', from=1-2, to=1-3]
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\arrow["f"', from=2-1, to=2-2]
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\arrow["{g_1}", shift left=2, from=2-2, to=2-3]
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\arrow["{g_2}"', shift right=2, from=2-2, to=2-3]
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\end{tikzcd}
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* Footnotes
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[fn:1] blahahahahah blah blah
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