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Someone anonymous has noted that the labels in two diagrams in triangle identities are misplaced. This seems clear. As the diagrams are external, can someone edit them who has access to the original code? There seem to be other errors (e.g. a C should be a D), as well.
added a reference pointer to page and verse in Borceux 94
In the section As diagrams I slightly re-arranged the text and spacting around the existing svg graphics.
Then, below that, I included an alternative xymatrix-rendering of the diagrams.
streamlined and expanded the paragraph Statement. In particular I made sure that the previously missing (!) pointers to adjoint functor and adjunction are included, … and I fixed “natural isomorphism” to “natural transformation” :-/
I would suggest simply to redo the diagrams in Tikz.
The problem must be due to our renovated parser. Because if instead of the current page one looks at it through the page history (e.g. in rev 25) then it displays without errors.
But even without the parsing errors, the output is ugly. Moreover, the code for the diagram in question is a weird hack, trying to include partial xypic graphics for curved and double arrows inside an Instiki array that meant to provide the remaining straight arrows. Maybe that was regarded as a necessary hack back in a time when we couldn’t include xygraphics more easily?
There seems to be no point in salvaging this. I have now simply removed it entirely.
What remains in the entry is the pretty-printed version of the diagram which I had added back in rev 18.
[edit: am preparing a more conventional version, just a moment…]
Okay, I have edited a bit:
In the section “As diagrams” I have now included the expected 2-morphism diagrams, coded with a single xymatrix.
Pointing out that the identity 2-morphisms are notationally implicit, I made this lead over to the Taiji-style version, obtained by leaving also the 1-morphisms notationally implicit.
Then I saw that the section “As equations” didn’t state a single equation, and so I edited a bit here, to make this a little more coherent.
Hope notation is all consistent now, it’s easy to introduce typos here.
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