12 lines
533 B
Markdown
12 lines
533 B
Markdown
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Isomorph
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<img class="right" alt="isomorph cats" src="categories/img/isomorph-cats.jpg" />
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<em class="yellow">isomorphism</em>:
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\\(f:A→B\\) which can be "undone" _i.e._
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\\(∃g:B→A\\), \\(g∘f=id\_A\\) & \\(f∘g=id\_B\\)
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in this case, \\(A\\) & \\(B\\) are <em class="yellow">isomorphic</em>.
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<span class="yellow">A≌B</span> means A and B are essentially the same.
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In Category Theory, <span class="yellow">=</span> is in fact mostly <span class="yellow">≌</span>.
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For example in commutative diagrams.
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