A note about bistellar operations on PL-manifolds with boundary |
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Authors: | Maria Rita Casali |
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Affiliation: | (1) Dipartimento di Matematica Pura ed Applicata, Università di Modena, Via Campi 213B, I-41100 Modena, Italy |
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Abstract: | In 1990, U. Pachner proved that simplicial triangulations of the same PL-manifold (with boundary) are always connected by a finite sequence of transformations belonging to two different groups:shelling operations (and their inverses), which work mostly with the boundary triangulations, andbistellar operations, which affect only the interior of the triangulations.The purpose of this note is to prove that, in case of simplicial triangulations coinciding on the boundary, bistellar operations are sufficient to solve the homeomorphism problem.Work performed under the auspicies of the GNSAGA of the CNR (National Research Council of Italy) and financially supported by MURST of Italy (project Geometria Reale e Complessa ). |
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Keywords: | 57Q15 57N15 52B70 |
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