Categorical length, relative L-S category and higher Hopf invariants

• Autorzy: Norio Iwase
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce the categorical length, a homotopy version of Fox categorical sequence, and an extended version of relative L-S category which contains the classical notions of Berstein-Ganea and Fadell-Husseini. We then show that, for a space or a pair, the categorical length for categorical sequences is precisely the L-S category or the relative L-S category in the sense of Fadell-Husseini respectively. Higher Hopf invariants, cup length, module weights, and recent computations by Kono and the author are also studied within this unified L-S theory based on the categorical length of categorical sequences.

Kategorie tematyczne

• 55Q25: Hopf invariants
• 55M30: Ljusternik-Schnirelman (Lyusternik-Shnirel\cprime man) category of a space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 85
• Numer: 1
• Strony: 205-224

Daty

wydano

2009

Twórcy

autor

Norio Iwase

• Faculty of Mathematics, Kyushu University, Fukuoka 810-8560, Japan

Identyfikatory

DOI

10.4064/bc85-0-15