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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeApr 29th 2014

I have split off the section on points-to-pieces transform from cohesive topos and expanded slightly, pointing also to comparison map between algebraic and topological K-theory

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeFeb 2nd 2015

I have added to the Examples a section Bundle equivalence and concordance with a quick note on how the points-to-pieces-transform applied to an internal hom of the form $[X,\mathbf{B}G]$ gives the canonical map from $G$-principal bundles with equivalences between them to $G$-principal bundles with concordances between them.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeFeb 27th 2018

I noticed that at points-to-pieces transform there had been no mentioning of its incarnation in global equivariant homotopy theory; so I went and briefly added a pointer: here

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJun 12th 2018

added mentioning of the condition “pieces have points” and made that phrase a redirect

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJun 22nd 2018

I had some trouble remembering, or making Google remember, where we recorded that “pieces have points” is equivalent to “discrete objects are concrete”.

I have now made a brief remark on that here, where this is more likely to be found (hopefully). I’ll want to turn this into a more comprehensive and polished discussion, but no time right now.

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