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started augmented A-infinity algebra
Thansk, Jim.
I have now added a warning remark here about a possible simplicial meaning of augmentation that one might think of.
Also I have fixed some misprints. (Possiby I did introduce new misprints though… ;-)
there is the notion of augmentation for an Aoo-algebra pure and simple
Hm, you mean a notion different from the pure and simple “equipped with a map to the base $\infty$-ring”, as in the entry?
Maybe you just want me to make a distinction between on the one hand $A_\infty$-algebras in characteristic 0, hence in chain complexes and on the other the general notion of $A_\infty$-algebras in spectra? If so, I’d ask: why? The simple definition of augmentation does not depend on this.
Haha, speaking of misprints: I know of a mathematician named Gregory Arone, but not Fregory Arone! :-)
Jim, in case this helps, you can render LaTeX in comments by first clicking on Markdown+Itex, where it says “Format comments as” below the comment box.
added to the Definition-section of augmented A-infinity algebra a pointer to the very general definition 5.2.3.14 in Higher Algebra.
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