Please use this identifier to cite or link to this item:

TitleJoins of DGA modules and sectional category
Author(s)Fernández Suárez, Lucía
Ghienne, Pierre
Kahl, Thomas
Vandembroucq, Lucile
KeywordsLusternik–Schnirelmann category
Sectional category
Topological complexity
Sullivan models
Issue date24-Feb-2006
PublisherGeometry & Topology Publications
JournalAlgebraic & Geometric Topology
Citation"Algebraic & Geometric Topology". ISSN 1472-2739. 6 (Febr. 2006) 119-144.
Abstract(s)We construct an explicit semifree model for the fiber join of two fibrations p: E → B and p′: E′→ B from semifree models of p and p′. Using this model, we introduce a lower bound of the sectional category of a fibration p which can be calculated from any Sullivan model of p and which is closer to the sectional category of p than the classical cohomological lower bound given by the nilpotency of the kernel of p∗: H∗(B; ℚ) → H∗(E; ℚ). In the special case of the evaluation fibration XI → X × X we obtain a computable lower bound of Farber’s topological complexity TC(X). We show that the difference between this lower bound and the classical cohomological lower bound can be arbitrarily large.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
mtc301005FS.pdfDocumento principal316,86 kBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID