Author: Urs Format: MarkdownItexthis kind of page has been missing,
starting something with (currently just) the least general (but maybe most important) version of the definition (MacLane's "conjugate" transformations) with a brief comment on the relation to bifibrations.
<a href="https://ncatlab.org/nlab/revision/transformation+of+adjoints/1">v1</a>, <a href="https://ncatlab.org/nlab/show/transformation+of+adjoints">current</a>
this kind of page has been missing,
starting something with (currently just) the least general (but maybe most important) version of the definition (MacLane’s “conjugate” transformations) with a brief comment on the relation to bifibrations.
Author: Urs Format: MarkdownItexadded explicit pointer ([here](https://ncatlab.org/nlab/show/transformation+of+adjoints#ConjugacyMeansMated)) to where MacLane shows that conjugacy of transformations is the same as them being "mates"
<a href="https://ncatlab.org/nlab/revision/diff/transformation+of+adjoints/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/transformation+of+adjoints/2">v2</a>, <a href="https://ncatlab.org/nlab/show/transformation+of+adjoints">current</a>
added explicit pointer (here) to where MacLane shows that conjugacy of transformations is the same as them being “mates”
Author: Urs Format: MarkdownItexMade more explicit ([here](https://ncatlab.org/nlab/show/transformation+of+adjoints#HorizontalCompositionOfConjugateTransformations)) the statement about horizontal composition of conjugate transformations, and its page/verse number in MacLane71.
<a href="https://ncatlab.org/nlab/revision/diff/transformation+of+adjoints/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/transformation+of+adjoints/5">v5</a>, <a href="https://ncatlab.org/nlab/show/transformation+of+adjoints">current</a>
Made more explicit (here) the statement about horizontal composition of conjugate transformations, and its page/verse number in MacLane71.
Author: nLab edit announcer Format: MarkdownItexThere is a typo in the (3) of defintion of conjugate natural transformations. The second vertical arrow should be in the D instead of C.
Junhua Zheng
<a href="https://ncatlab.org/nlab/revision/diff/transformation+of+adjoints/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/transformation+of+adjoints/8">v8</a>, <a href="https://ncatlab.org/nlab/show/transformation+of+adjoints">current</a>
There is a typo in the (3) of defintion of conjugate natural transformations. The second vertical arrow should be in the D instead of C.