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3 votes
2 answers
187 views

Two definitions of minimal models

Is there any relationship between both definitions of minimal models? (the couple of definitions I know are the one mentioned in Lefèvre's thesis, in the sense that the differential is zero, and the o …
Victor TC's user avatar
  • 795
1 vote

If C is a cocomplete coalgebra, then $\psi:C\rightarrow B\Omega C$ is a filtered quasi-isomo...

If $\mathrm{Gr}(B\Omega C)\xrightarrow{\backsim} B\Omega(\mathrm{Gr} C)$ actually means they both are not isomorphic but there is a canonical quasi-isomorphism from $\mathrm{Gr}(B\Omega C)$ to $B\Ome …
Victor TC's user avatar
  • 795
11 votes
1 answer
503 views

If C is a cocomplete coalgebra, then $\psi:C\rightarrow B\Omega C$ is a filtered quasi-isomo...

I am reading the PhD thesis thesis of Kenji Lefèvre-Hasegawa and the corresponding errata by Bernhard Keller, my question is about the first error found in the thesis. Lemma 1.3.2.3 c states 'the adju …
Victor TC's user avatar
  • 795