Whitehead products and generalizations

Results 1 to 10 of about 110 (81)

Entanglements and Whitehead products: generalizing Kleman's construction to higher-dimensional defects [PDF]

Liquid Crystals Reviews, 2022
We review the interpretation of Whitehead products in homotopy theory as an entanglement of topological defects in ordered media.
Gareth P Alexander, Randall D Kamien
exaly +3 more sources

Generalizations of Fox Homotopy Groups, Whitehead Products, and Gottlieb Groups [PDF]

Ukrainian Mathematical Journal, 2005
In this paper, we redefine the Fox torus homotopy groups and give a proof of the split exact sequence of these groups. Evaluation subgroups are defined and are related to the classical Gottlieb subgroups. With our constructions, we recover the Abe groups and prove some results of Gottlieb for the evaluation subgroups of Fox homotopy groups.
Golasinski, M., Goncalves, D., Wong, P.
exaly +3 more sources

On generalized Whitehead products [PDF]

Transactions of the American Mathematical Society, 2011
A symmetric monoidal pairing is defined among simply connected co-H spaces and this is used to generalize the Whitehead product map S(X ^ Y) --> SX v SY to co-H spaces.
openaire +3 more sources

Computing Homotopy Classes for Diagrams. [PDF]