14 citations · 25 across the 4 of their papers we have counts for
5 papers
On the form of potential spherical classes in
Peter J. Eccles, Hadi Zare
This note is about spherical classes in . A conjecture, due to Ed. Curtis, predicts that only Hopf invariant one and Kervaire invariant one elements will give rise to sp…
The Hurewicz image of the family, a polynomial subalgebra of
Peter J. Eccles, Hadi Zare
We consider the problem of calculating the Hurewicz image of Mahowald's family . This allows us to identify specific spherical classes in $H_*Ω_0^{2^{i+1}-8+k}…
Self-intersections of Immersions and Steenrod Operations
Peter J. Eccles, Mark Grant
We present a formula describing the action of a generalised Steenrod operation of -type on the cohomology class represented by a proper self-transverse immersion $f\co M\imm…
Bordism Groups of Immersions and Classes Represented by Self-Intersections
Peter J. Eccles, Mark Grant
We prove a geometrical version of Herbert's theorem by considering the self-intersection immersions of a self-transverse immersion up to bordism. This generalises Herbert's theorem…
Double point self-intersection surfaces of immersions
Mohammad A. Asadi-Golmankhaneh, Peter J. Eccles
A self-transverse immersion of a smooth manifold M^{k+2} in R^{2k+2} has a double point self-intersection set which is the image of an immersion of a smooth surface, the double poi…