Dufour, Jean-Paul Rigidity of webs. (English) Zbl 1048.53010 Grifone, Joseph (ed.) et al., Web theory and related topics. Singapore: World Scientific (ISBN 981-02-4604-8). 106-113 (2001). The following theorems are proved: 1) A homomorphism of smooth (or analytic) webs which is differentiable at a point is smooth (or analytic) in a neighborhood of this point. 2) Every homomorphism between two 3-webs which is continuous is automatically smooth (or real analytic if the webs are analytic).For the entire collection see [Zbl 0983.00024]. Reviewer: A. M. Shelekhov (Tver’) Cited in 3 Documents MSC: 53A60 Differential geometry of webs Keywords:smooth web; topological stability; differentiable stability; rigidity of webs PDFBibTeX XMLCite \textit{J.-P. Dufour}, in: Web theory and related topics. Singapore: World Scientific. 106--113 (2001; Zbl 1048.53010)