A combinatorial formula for the normal Euler class of a lattice $2$-manifold in $4$-space
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- by Boris V. Yusin
- Proc. Amer. Math. Soc. 92 (1984), 578-592
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760949-8
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Abstract:
For a lattice $2$-manifold immersed in $4$-space with all faces parallel to coordinate planes it is possible to assign a local index to each vertex type in a unique way so that the sum of vertex indices gives the normal Euler number of the immersion. Related results for simplicial immersions have been established by T. Banchoff.References
Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 578-592
- MSC: Primary 57R20; Secondary 52A25, 53A07, 57Q35
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760949-8
- MathSciNet review: 760949