Is the model structure on unbounded dg-coalgebras from Hinich 98 right proper, by any chance?

]]>Somebody sends the following by email, a question on one of the articles cited at *model structure on dg-coalgebras*. Maybe I have time later to look into this, right now I am busy with something else, so for the moment I am just forwarding the question here:

]]>I would like to ask a question about a paper by Goerss-Getzler on model category structure for DG coalgebras. In their Lemma 1.12.1 I dont get how the polynomials arive when computing the completion. According to me I could guess an argument if the DG coalgebra $C$ was supposed to be connected (i.e C_0 cong K the ). If for instance dim C_0 1, then I dont get their argument. Maybe you have a hint for me.

Added the statement of the two main results in Hinich's "formal stacks"-article to *model structure on dg-coalgebras*.

In the same vein, I have now finally merged the content at dg-algebra into the largely complementary content at differential graded algebra and made the former keyword redirect to the latter

]]>remembered that we already had differential graded coalgebra with pretty much complementar content and merged the two entries. Now dg-coalgebra is a redirect to the former.

]]>am starting model structure on dg-coalgebras.

In the process I

created a stub for dg-coalgebra

and linked to it from L-infinity algebra