On the coformality of classifying spaces for fibrewise self-equivalences

Hirokazu Nishinobu ; Toshihiro Yamaguchi

Homology, homotopy, and applications, Tome 26 (2024) no. 2, pp. 209-218.

Résumé

$\def\Baut{\operatorname{Baut}_1}$

Let

$F \to X p \overset{p}{\to} Y$

be a simply connected fibration with

$F$

and

$Y$

finite. Let

$\Baut X$

and

$\Baut p$

be the Dold–Lashof classifying spaces of

$X$

and

$p$

, respectively. In this paper, we study the relation between the coformality of

$\Baut F$

and that of

$\Baut p$

.

Détail

DOI : 10.4310/HHA.2024.v26.n2.a10

Classification : 55P62, 55R15
Keywords: rational homotopy theory, Sullivan (minimal) model, derivation, classifying space for fibration, coformal