On the Lusternik-Schnirelmann category of cochain algebras.
type: Item
instance of: scholarly article
title: On the Lusternik-Schnirelmann category of cochain algebras.
zbMATH Open document ID: 0736.55006
author: Bitjong Ndombol
publication date: 1991-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74945
review text: For a 1-connected cochain algebra of finite type of a field \(\mathbf k\) of any characteristic, we define a new invariant biMcat and prove that it coincides with the invariant Acat introduced by S. Halperin and J. M. Lemaire; furthermore we show that this invariant satisfies Ganea's conjecture and is invariant under field extension.
Mathematics Subject Classification ID: 55M30
Mathematics Subject Classification ID: 18G55
Mathematics Subject Classification ID: 17A50
zbMATH DE Number: 4216005
zbMATH Keywords: 1-connected cochain algebra
zbMATH Keywords: Lusternik-Schnirelmann category
zbMATH Keywords: differential bimodules
zbMATH Keywords: Ganea's conjecture
MaRDI profile type: Publication
OpenAlex ID: W2316567463
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DOI: 10.5802/AIF.1280
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4216005