Roger B. Nelson, "A decomposition into homeomorphic handlebodies with naturally equivalent involutions", International Journal of Mathematics and Mathematical Sciences, vol. 13, Article ID 518547, 6 pages, 1990. https://doi.org/10.1155/S0161171290000059
A decomposition into homeomorphic handlebodies with naturally equivalent involutions
Downing  extended the well-known result that any closed -manifold contains a handlebody such that is homeomorphic to in the case where is a compact -manifold with nonvoid boundary. We show that if is a compact -manifold with involution having -dimensional fixed point set, then contains an -invariant handlebody such that the involutions induced on and are naturally equivalent.
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