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Formal Contraction of the N-Simplex
Published online by Cambridge University Press: 20 November 2018
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If K is a finite geometric (i.e. admitting a rectilinear triangulation) n-complex and σn is an n - simplex of K which is n -1 not a face of any n + 1 simplex of K, and if σn-1 is an n-1 face of σn which is not a face of any other n - simplex in K, then the complex K - σn - σn-1 (the complex whose simplexes are those of K except for σn and σn-1) is called an elementary contraction of K of order n. The correspondence K → K - σn - σn-1 will also be called an elementary contraction, there being no possibility of confusion.
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- Copyright © Canadian Mathematical Society 1967
References
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Bing, R. H., Notes on combinatorial topology, National Science Foundation Summer Institute for Graduate Students in Topology, 1961.Google Scholar
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Konig, D., Thèorie der endlichen und unendlichengraphen, Akademische Verlagsgesellschaft M.B.H., Leipzig, Germany, 1936.Google Scholar
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Whitehead, J. H. C.. Whitehead, Simplicial spaces, nuclei and m-groups, Proceedings of the London Mathematical Society, Series 2, Volume 45, 1939, pp. 243-327.Google Scholar
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