Abstract
We give a proof of the regularity of bundle functors on a certain class of categories over manifolds and a description of all bundle functors on fibred manifolds with fixed dimensions of bases and fibres. Further, we describe in the terms of Weil algebras all bundle functors on fibred manifolds with fixed dimensions of bases preserving fibred products. Finally we discuss certain natural operations with vector fields.
In this paper, all manifolds are smooth and paracompact. We denote byN 0 the set of all non-negative integers.
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Slovák, J. Bundle functors on Fibred manifolds. Ann Glob Anal Geom 9, 129–143 (1991). https://doi.org/10.1007/BF00776852
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DOI: https://doi.org/10.1007/BF00776852