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

Norio Iwase. "Categorical length, relative L-S category and higher Hopf invariants." Banach Center Publications 85.1 (2009): 205-224. <http://eudml.org/doc/281640>.

@article{NorioIwase2009,
abstract = {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.},
author = {Norio Iwase},
journal = {Banach Center Publications},
keywords = {Lusternik-Schnirelmann category; categorical sequence; Hopf invariant; cone decomposition},
language = {eng},
number = {1},
pages = {205-224},
title = {Categorical length, relative L-S category and higher Hopf invariants},
url = {http://eudml.org/doc/281640},
volume = {85},
year = {2009},
}

TY - JOUR
AU - Norio Iwase
TI - Categorical length, relative L-S category and higher Hopf invariants
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 205
EP - 224
AB - 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.
LA - eng
KW - Lusternik-Schnirelmann category; categorical sequence; Hopf invariant; cone decomposition
UR - http://eudml.org/doc/281640
ER -