Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/69066
Título: | Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes |
Autor(es): | González, Jesús Grant, Mark Vandembroucq, Lucile |
Palavras-chave: | Lusternik-Schnirelmann category Topological complexity Generalized Hopf invariants Two-cell complex Fiberwise join generalized-Hopf invariant |
Data: | 2018 |
Editora: | American Mathematical Society |
Revista: | Contemporary Mathematics |
Citação: | González , J , Grant , M & Vandembroucq (2018) , Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes . in M Grant , G Lupton & L Vandembroucq (eds) , Topological complexity and related topics . vol. 702 , Contemporary Mathematics , American Mathematical Society , pp. 133-150 |
Resumo(s): | Let X be a two-cell complex with attaching map α : S q → S p , and let C_X be the cofiber of the diagonal inclusion X → X × X. It is shown that the topological complexity (TC ) of X agrees with the Lusternik-Schnirelmann category (cat ) of C_X in the (almost stable) range q ≤ 2p − 1. In addition, the equality TC (X) = cat (C_X ) is proved in the (strict) metastable range 2p − 1 < q ≤ 3(p − 1) under fairly mild conditions by making use of the Hopf invariant techniques recently developed by the authors in their study of the sectional category of arbitrary maps. |
Tipo: | Artigo em ata de conferência |
URI: | https://hdl.handle.net/1822/69066 |
ISBN: | 978-1-4704-3436-6 |
e-ISBN: | 978-1-4704-4405-1 |
DOI: | 10.1090/conm/702/14109 |
ISSN: | 0271-4132 |
Versão da editora: | https://www.ams.org/books/conm/702/ |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Hopfed-TC-dcat.pdf | 365,75 kB | Adobe PDF | Ver/Abrir |