A note on the Hilali conjecture-Reference-Cited by-同舟云学术

A note on the Hilali conjecture

Published:2017-03-01 Issue:2 Volume:29 Page:251-257
ISSN:1435-5337
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Amann Manuel¹

Affiliation:

1. 1Fakultät für Mathematik, Institut für Algebra und Geometrie, Karlsruher Institut für Technologie, Englerstraße 2, 76131 Karlsruhe, Germany

Abstract

AbstractIn this short note we observe that the Hilali conjecture holds for 2-stage spaces, i.e. we argue that the dimension of the rational cohomology is at least as large as the dimension of the rational homotopy groups for these spaces. We also prove the Hilali conjecture for a class of spaces which puts it into the context of fibrations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2015-0078/pdf

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