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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Formal $ 3$-deformations of $ 2$-polyhedra

Author: Perrin Wright
Journal: Proc. Amer. Math. Soc. 37 (1973), 305-308
MSC: Primary 57C10; Secondary 57A10
MathSciNet review: 0331397
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Abstract: A formal deformation of one polyhedron to another is a finite sequence of expansions and collapses, beginning with one polyhedron and ending with the other. If a formal deformation exists between two 2-dimensional polyhedra, it is possible to choose a deformation through polyhedra of dimension at most four. It is desired to reduce this number to three. We give a partial result in that direction.

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Keywords: Expansions, collapses, formal deformations, closed fake surfaces, manifolds
Article copyright: © Copyright 1973 American Mathematical Society