Dimension functions for spherical fibrations

Simple item page
buir.contributor.authorOkay, Cihan
buir.contributor.authorYalçın, Ergün
dc.citation.epage3941en_US
dc.citation.issueNumber7en_US
dc.citation.spage3907en_US
dc.citation.volumeNumber18en_US
dc.contributor.authorOkay, Cihanen_US
dc.contributor.authorYalçın, Ergünen_US
dc.date.accessioned2019-02-21T16:08:23Z
dc.date.available2019-02-21T16:08:23Z
dc.date.issued2018en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractGiven a spherical fibration ξ over the classifying space BG of a finite group G we define a dimension function for the m-fold fiber join of ξ, where m is some large positive integer. We show that the dimension functions satisfy the Borel-Smith conditions when m is large enough. As an application we prove that there exists no spherical fibration over the classifying space of (formula presented) with p- effective Euler class, generalizing a result of Ünlü (2004) about group actions on finite complexes homotopy equivalent to a sphere. We have been informed that this result will also appear in upcoming work of Alejandro Adem and Jesper Grodal as a corollary of a previously announced program on homotopy group actions due to Grodal.
dc.identifier.doi10.2140/agt.2018.18.3907
dc.identifier.issn1472-2747
dc.identifier.urihttp://hdl.handle.net/11693/50412
dc.language.isoEnglish
dc.publisherMathematical Sciences Publishers
dc.relation.isversionofhttps://doi.org/10.2140/agt.2018.18.3907
dc.source.titleAlgebraic and Geometric Topologyen_US
dc.titleDimension functions for spherical fibrationsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Dimension_functions_for_spherical_fibrations.pdf
Size:
383.73 KB
Format:
Adobe Portable Document Format
Description:
Full printable version
Download

Collections

Department of Mathematics