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https://hdl.handle.net/1959.11/3032
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baues, Hans Joachim | en |
dc.contributor.author | Bleile, Beatrice | en |
dc.date.accessioned | 2009-11-11T16:43:00Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Algebraic & Geometric Topology, v.8, p. 2355-2389 | en |
dc.identifier.issn | 1472-2739 | en |
dc.identifier.issn | 1472-2747 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/3032 | - |
dc.description.abstract | We describe an algebraic structure on chain complexes yielding algebraic models which classify homotopy types of PD⁴-complexes. Generalizing Turaev's fundamental triples of PD³-complexes we introduce fundamental triples of PDⁿ-complexes and show that two PDⁿ complexes are orientedly homotopy equivalent if and only if their fundamental triples are isomorphic. As applications we establish a conjecture of Turaev and obtain a criterion for the existence of degree 1 maps between n-dimensional manifolds. | en |
dc.language | en | en |
dc.publisher | Mathematical Sciences Publishers | en |
dc.relation.ispartof | Algebraic & Geometric Topology | en |
dc.title | Poincaré duality complexes in dimension four | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.2140/agt.2008.8.2355 | en |
dc.subject.keywords | Topology | en |
local.contributor.firstname | Hans Joachim | en |
local.contributor.firstname | Beatrice | en |
local.subject.for2008 | 010112 Topology | en |
local.subject.seo2008 | 970101 Expanding Knowledge in the Mathematical Sciences | en |
local.profile.school | School of Science and Technology | en |
local.profile.email | bbleile@une.edu.au | en |
local.output.category | C1 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.identifier.epublicationsrecord | pes:6794 | en |
local.publisher.place | United States of America | en |
local.format.startpage | 2355 | en |
local.format.endpage | 2389 | en |
local.identifier.scopusid | 62049084820 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 8 | en |
local.contributor.lastname | Baues | en |
local.contributor.lastname | Bleile | en |
dc.identifier.staff | une-id:bbleile | en |
local.profile.orcid | 0000-0003-2254-6832 | en |
local.profile.role | author | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:3113 | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | Poincaré duality complexes in dimension four | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.relation.url | www.mpim-bonn.mpg.de/preprints/send?bid=3558 | en |
local.search.author | Baues, Hans Joachim | en |
local.search.author | Bleile, Beatrice | en |
local.uneassociation | Unknown | en |
local.identifier.wosid | 000272699700018 | en |
local.year.published | 2008 | en |
local.codeupdate.date | 2021-10-29T10:13:00.239 | en |
local.codeupdate.eperson | bbleile@une.edu.au | en |
local.codeupdate.finalised | true | en |
Appears in Collections: | Journal Article |
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