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Timeline for Self homotopy equivalence

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Nov 29, 2014 at 23:09 comment added MyIsmail Indeed, Smith's paper suggested by Igor gave a lot of formality characterizations, but for $Baut_1(X)$, where $aut_1(X)$ denotes the identity component. I ask if there is any bridge between the formality of $Baut_1(X)$ and that of $Baut(X)$
Nov 26, 2014 at 21:04 comment added MyIsmail @MatthiasWendt: Thanks, I will do it right now
Nov 26, 2014 at 15:02 comment added Matthias Wendt Have you checked J.W.Rutter: Spaces of homotopy self-equivalences - a survey. Springer LNMA 1662 (1997)?
Nov 26, 2014 at 14:30 comment added Igor Belegradek See people.sju.edu/~smith/pdf_files/factor3.pdf, "Rational Type of Classifying Spaces for Fibrations" by Samuel Bruce Smith.
Nov 26, 2014 at 14:28 comment added MyIsmail I want to know if the formality of ${\rm Baut}(X)$ was already studied elsewhere
Nov 26, 2014 at 14:16 comment added Fernando Muro $\pi_0 aut(X)$ is the automorphism group of $X$ in the homotopy category.
Nov 26, 2014 at 14:07 history asked MyIsmail CC BY-SA 3.0