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On the connectivity of skeletons of pseudomanifolds with boundary

R. Ayala; M. J. Chávez; Alberto Márquez; Antonio Quintero — 2002

Mathematica Bohemica

In this note we show that $1$ -skeletons and $2$ -skeletons of $n$ -pseudomanifolds with full boundary are $(n + 1)$ -connected graphs and $n$ -connected $2$ -complexes, respectively. This generalizes previous results due to Barnette and Woon.

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