Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/16791
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dc.contributor.authorBaues, Hans-Joachimen
dc.contributor.authorBleile, Beatriceen
dc.date.accessioned2015-03-17T15:54:00Z
dc.date.issued2015en
dc.identifier.citationApplicable Algebra in Engineering, Communication and Computing, 26(1-2), p. 165-189en
dc.identifier.issn0938-1279en
dc.identifier.issn1432-0622en
dc.identifier.urihttps://hdl.handle.net/1959.11/16791en
dc.description.abstractIt is well-known how to compute the structure of the second homotopy group of a space, X, as a module over the fundamental group π₁X, using the homology of the universal cover and the Hurewicz isomorphism. We describe a new method to compute the third homotopy group, π₃X as a module over π₁X. Moreover, we determine π₃X as an extension of π₁X-modules derived from Whitehead's Certain Exact Sequence. Our method is based on the theory of quadratic modules. Explicit computations are carried out for pseudo-projective 3-spaces X=S¹Ue²Ue³ consisting of exactly one cell in each dimension ≤ 3.en
dc.languageenen
dc.publisherSpringeren
dc.relation.ispartofApplicable Algebra in Engineering, Communication and Computingen
dc.titleThe third homotopy group as a π₁-moduleen
dc.typeJournal Articleen
dc.identifier.doi10.1007/s00200-014-0240-5en
dcterms.accessRightsGreenen
dc.subject.keywordsAlgebra and Number Theoryen
dc.subject.keywordsTopologyen
dc.subject.keywordsApplied Mathematicsen
local.contributor.firstnameHans-Joachimen
local.contributor.firstnameBeatriceen
local.subject.for2008010299 Applied Mathematics not elsewhere classifieden
local.subject.for2008010112 Topologyen
local.subject.for2008010101 Algebra and Number Theoryen
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolMathsen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailbbleile@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordune-20150116-104928en
local.publisher.placeGermanyen
local.format.startpage165en
local.format.endpage189en
local.url.openhttps://arxiv.org/abs/1309.6510en
local.peerreviewedYesen
local.identifier.volume26en
local.identifier.issue1-2en
local.access.fulltextYesen
local.contributor.lastnameBauesen
local.contributor.lastnameBleileen
dc.identifier.staffune-id:bbleileen
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:17025en
local.identifier.handlehttps://hdl.handle.net/1959.11/16791en
dc.identifier.academiclevelAcademicen
local.title.maintitleThe third homotopy group as a π₁-moduleen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.description.statisticsepubsVisitors: 596<br />Views: 602<br />Downloads: 7en
local.search.authorBaues, Hans-Joachimen
local.search.authorBleile, Beatriceen
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