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Density of transversality on multijets of manifolds with corners. (Spanish) Zbl 0688.57011

In one of their earlier papers [Proc. 10th Spanish-Portuguese Conf. Math. VII (Murcia, 1985), 23-32 (1985)], the authors introduced a concept of transversality for maps of real Banach manifolds with corners which does not coincide with the usual one even in the finite-dimensional case. Using their definition, they later proved a version of Thom’s transversality theorem [Collect. Math. 37, No.3, 277-285 (1986)]. In the present paper, a similar version of the multijet transversality theorem is obtained. As applications, the corresponding versions of the Whitney immersion and imbedding theorems are derived.
Note: A systematic exposition of the author’s results can now be found in their recent book: Differential topology (Spanish) (1988; Zbl 0633.57001).
Reviewer: J.Weinstein

MSC:

57N20 Topology of infinite-dimensional manifolds
57R42 Immersions in differential topology
57N75 General position and transversality
57R40 Embeddings in differential topology
58B99 Infinite-dimensional manifolds
58D15 Manifolds of mappings

Citations:

Zbl 0633.57001
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