Homology, Homotopy and Applications

Volume 26 (2024)

Number 2

On the coformality of classifying spaces for fibrewise self-equivalences

Pages: 209 – 218

DOI: https://dx.doi.org/10.4310/HHA.2024.v26.n2.a10

Authors

Hirokazu Nishinobu (Department of General Education, Nagano Natural College of Technology, Nagano, Japan)

Toshihiro Yamaguchi (Kochi University, Kochi, Japan)

Abstract

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

Keywords

rational homotopy theory, Sullivan (minimal) model, derivation, classifying space for fibration, coformal

2010 Mathematics Subject Classification

55P62, 55R15

Received 22 August 2023

Accepted 5 January 2024

Published 2 October 2024