Analytic properties of Poincaré series of spaces
type: Item
instance of: scholarly article
title: Analytic properties of Poincaré series of spaces
zbMATH Open document ID: 0935.55004
DOI: 10.1016/S0040-9383(97)00083-9
author: Pascal Lambrechts
published in: Topology
publication date: 2000-04-13T00:00:00Z
review text: Let \(X\) be a finite simply connected CW-complex such that its rational homotopy groups are non trivial in infinitely many dimensions. Under certain conditions, the author claims that the sum \[ \sum^{k+\dim X-1}_{k+1}\text{ rank} \pi_j(\Omega X)k\omega^k \] is bounded between two constants, where \(\omega\) is the radius of convergence of the Poincaré series with \(\omega<1\).
reviewed by: Kai Xu
Mathematics Subject Classification ID: 55P35
Mathematics Subject Classification ID: 55P62
zbMATH DE Number: 1307809
MaRDI profile type: Publication
full work available at URL: s0040-9383(97)00083-9
OpenAlex ID: W2088939872
description: scientific article; zbMATH DE number 1307809