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math.AT2008
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…
math.AT2008
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…