Abstract
We give a mathematical model of $n$-membered ringed hydrocarbon molecules, and study the topology of a configuration space $C_{n}$ of the model. Under the bond angle conditions required for ringed molecules, we prove that $C_{n}$ is homeomorphic to $(n-4)$-dimensional sphere $S^{n-4}$ when $n = 5, 6, 7$. This result gives an appropriate explanation of the configuration space of $n$-membered ringed hydrocarbon molecules when $n = 5, 6$.
Citation
Satoru Goto. Kazushi Komatsu. "The configuration space of a model for ringed hydrocarbon molecules." Hiroshima Math. J. 42 (1) 115 - 126, March 2012. https://doi.org/10.32917/hmj/1333113009
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