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math.AT2007
Homotopy type and v1-periodic homotopy groups of p-compact groups
Donald M. Davis
We determine the v1-periodic homotopy groups of all irreducible p-compact groups (BX,X). In the most difficult, modular, cases, we follow a direct path from their associated invari…
math.AT2007★ 1 cited
v1-periodic homotopy groups of the Dwyer-Wilkerson space
Martin Bendersky, Donald M. Davis
The Dwyer-Wilkerson space DI(4) is the only exotic 2-compact group. We compute its v1-periodic homotopy groups.
math.AT2007
Nonimmersions of RP^n implied by tmf, revisited
Donald M. Davis, Mark Mahowald
In a 2002 paper, the authors and Bruner used the new spectrum tmf to obtain some new nonimmersions of real projective spaces. In this note, we complete/correct two oversights in th…