22 citations · 22 across the 4 of their papers we have counts for
6 papers · 1 filter
Abelian properties of Anick spaces
Brayton Gray
The Anick spaces play a key role in an unstable filtration of the stable homotopy of V(0) to produce secondary EHP sequences. This work establishes that the Anick spaces are homoto…
Universal Abelian H-spaces
Brayton Gray
The question of the existence of Universal homotopy commutative and homotopy associative H-spaces (called Abelian H-spaces) is studied. Such a space T(X) would prolong a map from X…
On Generalized Whitehead Products
Brayton Gray
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.
Decompositions involving Anick's spaces
Brayton Gray
Recently Stephen Theriault and I found an elementary construction of Anick's spaces and proved their main properties(arXiv:0710.1024).In this work the fundamental fibration is deco…
Filtering the fiber of the pinch map
Brayton Gray
A new type of Hopf invariant is described for the fiber of the pinch map from the mapping cone of a map from A to X onto to the suspension of A; this is then used to study the boun…
An elementary construction of Anick's fibration
Brayton Gray, Stephen Theriault
Cohen, Moore, and Neisendorfer's work on the odd primary homotopy theory of spheres and Moore spaces, as well as the first author's work on the secondary suspension, predicted the…