Margalef Roig, Juan; Outerelo Dominguez, Enrique Density of transversality on multijets of manifolds with corners. (Spanish) Zbl 0688.57011 Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 81, No. 4, 725-737 (1987). 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 Keywords:Whitney imbedding; transversality for maps of real Banach manifolds with corners; multijet transversality theorem; Whitney immersion Citations:Zbl 0633.57001 PDFBibTeX XMLCite \textit{J. Margalef Roig} and \textit{E. Outerelo Dominguez}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 81, 725--737 (1987; Zbl 0688.57011) Full Text: EuDML