net-deertopia/publisher/test/net/deertopia/publisher/roam-test/monoepi.org

Monomorphisms and epimorphisms

• Footnotes

In category theory, monomorphisms and epimorphisms are types of cancellative morphisms generalising injective and surjective functions, respectively.¹

\begin{tikzcd} % https://q.uiver.app/#q=WzAsNixbMCwwLCJYIl0sWzEsMCwiWSJdLFsyLDAsIloiXSxbMSwxLCJZIl0sWzIsMSwiWiJdLFswLDEsIlgiXSxbMCwxLCJnXzEiLDAseyJvZmZzZXQiOi0yfV0sWzAsMSwiZ18yIiwyLHsib2Zmc2V0IjoyfV0sWzEsMiwiZiIsMl0sWzMsNCwiZ18xIiwwLHsib2Zmc2V0IjotMn1dLFszLDQsImdfMiIsMix7Im9mZnNldCI6Mn1dLFs1LDMsImYiLDJdXQ== X & Y & Z \\ X & Y & Z \arrow["{g_1}", shift left=2, from=1-1, to=1-2] \arrow["{g_2}"', shift right=2, from=1-1, to=1-2] \arrow["f"', from=1-2, to=1-3] \arrow["f"', from=2-1, to=2-2] \arrow["{g_1}", shift left=2, from=2-2, to=2-3] \arrow["{g_2}"', shift right=2, from=2-2, to=2-3] \end{tikzcd}

Footnotes

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¹

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