James bundles

James bundles

We study cubical sets without degeneracies, which we call –sets. These sets arise naturally in a number of settings and they have a beautiful intrinsic geometry; in particular a –set C has an infinite family of associated –sets J (C), i = 1, 2, . . ., which we call James complexes. There are mock bundle projections pi : |J (C)| → |C| (which we call James bundles) defining classes in unstable co...

James Bundles and Applications

SUMMARY We study cubical sets without degeneracies, which we call {sets. These sets arise naturally in a number of settings and there is a beautiful geometry associated with them; in particular a {set C has an innnite family of associated {sets J i (C), i = 1; 2; : : :, which we call James complexes. There are projections p i : jJ i (C)j ! jCj which are mock bundle projections. These deene clas...

James

a chair, he was the very picture of dejection. His small head was hanging, an obstreperous tuft of the coarse, sandy hair standing defiantly upright on the crown of it; his complexion was sallow and pasty, and not in any way enhanced by a sparse scattering of tiny yellow freckles, plainly visible at close view; his generous mouth drooped, like his head, the lips pale, but firmly closed. In his ...

Cokernel Bundles and Fibonacci Bundles

We are interested in those bundles on P that admits a resolution of the form 0 → C ⊗ E φ −→ C t ⊗ F → C → 0. In this paper we prove that, under suitable conditions on E, F , a generic bundle with this form is either simple, or canonically decomposable. As applications we provide an easy criterion for the stability of such bundles on P and we prove the stability of all Steiner exceptional bundle...

James Taylor