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Recently Hopkins and Mahowald constructed a new 2-primary ring spectrum eo2, satisfying H (eo2) ≈ A//A2. We use eo2 to obtain new results regarding nonimmersions of real projective spaces in Euclidean space. The method is to say enough about the eo2-cohomology of a product of real projective spaces to obtain nonexistence of certain axial maps. 1. Main… (More)

- Donald M. Davis
- 1995

what is the reaction of viewers when characters speak directly to the audience—breaking the invisible "fourth wall" of the theater—in films or television programs? Mel Brooks did this in "Blazing Saddles" and, more recently, Gary Shandling did in his television program with questions like: "Does my hair look OK?" This experiment using college students… (More)

Bousfield has shown how the 2-primary v1-periodic homotopy groups of certain compact Lie groups G can be obtained from their representation ring with its decomposition into types and its exterior power operations. He has formulated a Technical Condition which must be satisfied in order that he can prove that his description is valid. We prove that a… (More)

- D M DAVIS, G H STRONG, W M DRAKE
- The Journal of urology
- 1948

In 1981, Davis, Gitler, and Mahowald determined the geometric dimension of stable vector bundles of order 2e over RPn if n is even and sufficiently large and e ≥ 75. In this paper, we use the Bendersky-Davis computation of v−1 1 π∗(SO(m)) to show that the 1981 result extends to all e ≥ 5 (still provided that n is sufficiently large). If e ≤ 4, the result is… (More)

The Dwyer–Wilkerson space DI(4) is the only exotic 2compact group. We compute v−1 1 π∗(DI(4)), its v1-periodic homotopy groups.

- P D Zimskind, D M Davis, J E Decaestecker
- The Journal of urology
- 1969

- D M Davis, R L Garcia, J P Riordon, D Taplin
- Archives of dermatology
- 1972