On pairs of nonintersecting faces of cell complexes
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- by Philip L. Wadler PDF
- Proc. Amer. Math. Soc. 51 (1975), 438-440 Request permission
Abstract:
We show that, for all cell complexes whose underlying set is a manifold, $M$, an alternating sum of numbers of pairs of faces that do not intersect is a topological invariant. This is done by proving that it is a function of the Euler characteristic, $x$, of $M$.References
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B. Grünbaum, Convex polytopes, Pure and Appl. Math., vol. 16, Interscience, New York, 1967. MR 37 #2085.
- Wu Wen-tsün, A theory of imbedding, immersion, and isotopy of polytopes in a euclidean space, Science Press, Peking, 1965. MR 0215305
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 438-440
- MSC: Primary 57C05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0400241-9
- MathSciNet review: 0400241