James bundles
نویسندگان
چکیده
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 cohomotopy which generalise the classical James–Hopf invariants of Ω(S). The algebra of these classes mimics the algebra of the cohomotopy of Ω(S) and the reduction to cohomology defines a sequence of natural characteristic classes for a – set. An associated map to BO leads to a generalised cohomology theory with geometric interpretation similar to that for Mahowald orientation [19, 23]. AMS Classification 55N22, 55P44; 57R15, 57R20, 57R90
منابع مشابه
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...
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Lexical bundles are known as important elements of coherent discourse that have been the subject of much research. While the previous research has been mainly concerned with exploring variations in the use of these word sequences across different registers and disciplines, very few studies have addressed the use of some particular groups of lexical bundles within some types of academic writing....
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The separation of alkanes is important for a range of applications such as oil refinement, filtration and gas separation. Carbon nanotubes, with their large surface area are highly promising for applications utilising alkane adsorption and separation. Rather than remaining isolated however, nanotubes tend to bundle together, and the adsorption properties of such bundles and subsequent potential...
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