Abstract
Various examples of immersed codimension 1 manifolds are studied from the viewpoint of possible combinations of the Euler characteristics of the submanifolds of multiple selfintersection points. A complete answer is given for the immersed 5-manifolds in the 6-dimensional Euclidean space. Relations are discussed with other constructions in differential topology and singularity theory.
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Akhmet'ev, P.M., Malesic, J. & Repovs, D. On the Euler Characteristic of Multiple Selfintersection Points of Immersed Manifolds. Siberian Mathematical Journal 44, 208–212 (2003). https://doi.org/10.1023/A:1022968300947
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DOI: https://doi.org/10.1023/A:1022968300947