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Embedding Simply Connected 2-Complexes in 3-Space

delete2026-03-01
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PRE
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C
Carmesin, Johannes
DOI：10.1090/memo/1625delete
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Abstract

Abstract

En 中文
Firstly, we characterise the embeddability of simply connected locally 3-connected 2-dimensional simplicial complexes in 3-space in a way analogous to Kuratowski's characterisation of graph planarity, by nine excluded minors. This answers questions of Lovasz, Pardon and U. Wagner. The excluded minors are the cones over K5 and K3,3, five related constructions, and the remaining two are obtained from triangulations of the Mo & uml;bius strip by attaching a disc at its central cycle. Secondly, we extend the above theorem to all simply connected 2-dimensional simplicial complexes.

Journal

M
Memoirs of the American Mathematical Society
IF:
2.4
Papers:
24
Citations:
0

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No organization information available