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ON SERRE MICROFIBRATIONS AND A LEMMA OF M. WEISS

Published online by Cambridge University Press:  20 March 2017

GEORGE RAPTIS
GEORGE RAPTIS*
Affiliation:
Universität Regensburg, Fakultät für Mathematik, 93040 Regensburg, Germany e-mail: georgios.raptis@ur.de
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Abstract

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We show that every fibrewise map from a Serre microfibration to a Serre fibration is n-connected if it is fibrewise n-connected. This generalises a result of M. Weiss and related results by Bökstedt–Madsen and Galatius–Randal–Williams. We also discuss an application to configuration spaces.

Keywords

55R6555R7055R80
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 3 , September 2017 , pp. 649 - 657
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

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