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A simple proof of Gagliardi's handle recognition theorem - MaRDI portal

A simple proof of Gagliardi's handle recognition theorem (Q1070584)

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scientific article; zbMATH DE number 3938050
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A simple proof of Gagliardi's handle recognition theorem
scientific article; zbMATH DE number 3938050

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    A simple proof of Gagliardi's handle recognition theorem (English)
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    1985
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    \textit{C. Gagliardi} [Ric. Mat. 31, 389-404 (1982; Zbl 0547.57017)] has proved a theorem on recognizing handles in 3-manifolds crystallizations. The purpose of the note is to present a short proof of this result and to introduce a more general definition of combinatorial handle, crucial for the proof. The author also presents a crystallization which settles two questions posed in Gagliardi's paper.
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    edge-colored graphs
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    graph-encoded manifolds
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    recognizing handles in 3- manifolds crystallizations
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    combinatorial handle
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