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TitleSimplicial resolutions and Ganea fibrations
Author(s)Kahl, Thomas
Scheerer, Hans
Tanré, Daniel
Vandembroucq, Lucile
KeywordsSimplicial spaces
Lusternik-Schnirelmann category
Issue date2008
PublisherTbilisi Centre for Mathematical Sciences
JournalJournal of Homotopy and Related Structures
Abstract(s)In this work, we compare two approximations of a path- connected space X: the one given by the Ganea spaces Gn (X) and the one given by the realizations Λ• X n of the trun- cated simplicial resolutions induced by the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps Λ• X n−1 → Gn (X) → Λ• X n over X, up to homo- topy. In the case n = 2, we also prove the existence of a map G2 (X) → Λ• X 1 over X (up to homotopy).
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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