Finiteness Properties for Handlebody Mapping Class Groups

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Cornell University, Aug., 1997 - 240 pages
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We also derive substantial partial results for establishing homological stability for the 1-patched handlebody mapping class group. We note that in the rather different contexts of DAC and finiteness properties on the one hand, and the arena of homological stability on the other, the notion of "patches" is a fruitful analog allowing (modifications of) many familiar constructions to be applied, and familiar results to be established, as if the handlebody had one or many localized boundary components.

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Finiteness Properties
Stabilizers of Simplices are Finite
The Base Space X

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