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A simple proof of Gagliardi's handle recognition theorem

✍ Scribed by Sóstenes Lins

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 430 KB
Volume: 57
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(85)90178-5

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✦ Synopsis

Recently Gagliardi has proved a theorem on recognizing handles in 3-manifolds crystallizations . The purpose of this note is to present a short proof of this result which follows as a corollary of Theorem 2 and to introduce a more general definition of combinatorial handle, crucial for the proof. We also present a crystallization which settles two questions posed in . * Work supported by UFPE, CNPq (contract number 30.1103/80) and FINEP.

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