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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 2, Pages 256–262 (Mi smj1172)  
On the Euler characteristic of multiple selfintersection points of immersed manifolds

P. M. Akhmet'eva, I. Maleshichb, D. Repovšb

a Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
b University of Ljubljana
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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.
Keywords: immersion, Euler characteristic, singularity, selfintersection.
Received: 20.09.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 2, Pages 208–212
DOI: https://doi.org/10.1023/A:1022968300947
Bibliographic databases:
UDC: 515.142
Language: Russian
Citation: P. M. Akhmet'ev, I. Maleshich, D. Repovš, “On the Euler characteristic of multiple selfintersection points of immersed manifolds”, Sibirsk. Mat. Zh., 44:2 (2003), 256–262; Siberian Math. J., 44:2 (2003), 208–212
Citation in format AMSBIB
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\paper On the Euler characteristic of multiple selfintersection points of immersed manifolds
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\vol 44
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\pages 256--262
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\transl
\jour Siberian Math. J.
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\vol 44
\issue 2
\pages 208--212
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    		Сибирский математический журнал Siberian Mathematical Journal
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