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- W2010956544 abstract "We say that a cell complex has theW v property provided any two vertices can be joined by a path that never returns to a facet once it leaves it. The boundaries of convex polytopes have been shown to have theW v property for polytopes of dimensions at most 3. We extend the three-dimensional result to polyhedral maps on the torus by showing that all such maps have theW v property. We also show that theW v property for all polyhedral maps on manifolds of a given genus is equivalent to the property that for all maps on manifolds of that genus each two faces lie in a subcomplex that is a cell." @default.
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- W2010956544 date "1990-12-01" @default.
- W2010956544 modified "2023-09-27" @default.
- W2010956544 title "W v paths on the torus" @default.
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- W2010956544 doi "https://doi.org/10.1007/bf02187811" @default.
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