Multiple vector bundles: cores, splittings and decompositions

This paper introduces ∞- and n-fold vector bundles as special functors from the ∞- and n-cube categories to the category of smooth manifolds. We study the cores and "n-pullbacks" of n-fold vector bundles and we prove that any n-fold vector bundle admits a non-canonical isomorphism to a dec...

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Veröffentlicht in:	Theory and applications of categories 2020-01, Vol.35 (19), p.665
Hauptverfasser:	Heuer, Malte, Lean, Madeleine Jotz
Format:	Artikel
Sprache:	eng
Schlagworte:	Bundles Bundling Decomposition Dynamical systems Isomorphism Topological manifolds Vector space
Online-Zugang:	Volltext
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