TY - JOUR
T1 - Hopf invariants of the Berstein-Hilton-Ganea kind
AU - Dula, Giora
AU - Marcum, Howard J.
PY - 1995/8/14
Y1 - 1995/8/14
N2 - We study Hopf invariants of a kind constructed classically by Berstein, Hilton and Ganea. Beyond basic properties of such Hopf invariants we also consider comparisons to other generalizations of the Hopf invariant as have been made by Nomura (1966), Walker (1979) and recently Marcum. Our principal example here of a Hopf invariant of the Berstein-Hilton-Ganea kind is the Ganea-Hopf invariant GHI: ΣΩM(f,g) → ΩCf * ΩCg. The main result we establish for GHI is a computational formula, one term of which involves the dual product of Arkowitz.
AB - We study Hopf invariants of a kind constructed classically by Berstein, Hilton and Ganea. Beyond basic properties of such Hopf invariants we also consider comparisons to other generalizations of the Hopf invariant as have been made by Nomura (1966), Walker (1979) and recently Marcum. Our principal example here of a Hopf invariant of the Berstein-Hilton-Ganea kind is the Ganea-Hopf invariant GHI: ΣΩM(f,g) → ΩCf * ΩCg. The main result we establish for GHI is a computational formula, one term of which involves the dual product of Arkowitz.
KW - Dual product pairing
KW - Exterior join functor
KW - Homotopy abelian structures
KW - Hopf invariant
KW - Whitehead product
UR - http://www.scopus.com/inward/record.url?scp=0002152299&partnerID=8YFLogxK
U2 - 10.1016/0166-8641(94)00112-G
DO - 10.1016/0166-8641(94)00112-G
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AN - SCOPUS:0002152299
SN - 0166-8641
VL - 65
SP - 179
EP - 203
JO - Topology and its Applications
JF - Topology and its Applications
IS - 2
ER -