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Collapses and Z-Compactifications of CAT(0) Cube Complexes Mr. Daniel Gulbrandsen University of Wisconsin-Milwaukee Dissertator We extend the notion of collapsibility to non-compact cube complexes and prove collapsibility of locally-finite CAT(0) cube complexes. Namely, we construct such a cube complex X... Read More |
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Non-hyperbolic right-angled Coxeter groups with Menger curve boundary Mr. Cong He University of Wisconsin-Milwaukee Dissertator We find a class of simplicial complexes as nerves of CAT(0) right-angled Coxeter groups, with boundary homeomorphic to the Menger curve. Our nerves are triangulations... Read More |
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Random quotients of hyperbolic groups and Property (T) Mr. Prayagdeep Parija University of Wisconsin-Milwaukee Dissertator How does a random quotient of a group look like? Gromov looked at the density model of quotients of free groups. The density parameter d... Read More |
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