Higher connectedness of asymptotic cones.
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Publication:1398215
DOI10.1016/S0040-9383(03)00002-8zbMath1038.20031WikidataQ56031719 ScholiaQ56031719MaRDI QIDQ1398215
Publication date: 29 July 2003
Published in: Topology (Search for Journal in Brave)
Geometric group theory (20F65) Asymptotic properties of groups (20F69) Cancellation theory of groups; application of van Kampen diagrams (20F06)
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A FINITELY PRESENTED GROUP WITH TWO NON-HOMEOMORPHIC ASYMPTOTIC CONES ⋮ Banach strong Novikov conjecture for polynomially contractible groups ⋮ Asymptotic geometry of the mapping class group and Teichmüller space ⋮ Optimal higher-dimensional Dehn functions for some CAT(0) lattices. ⋮ Equivariant Morse theory on Vietoris–Rips complexes and universal spaces for proper actions ⋮ Local topological properties of asymptotic cones of groups. ⋮ Fundamental group of asymptotic cones of abelian-by-cyclic groups. ⋮ Wrong way maps in uniformly finite homology and homology of groups ⋮ On the Hochschild homology of \(\ell^1\)-rapid decay group algebras ⋮ Median and injective metric spaces ⋮ The Dehn function of Stallings' group. ⋮ Combinatorial higher dimensional isoperimetry and divergence ⋮ Rough index theory on spaces of polynomial growth and contractibility ⋮ Asymptotic invariants, complexity of groups and related problems ⋮ Some properties of median metric spaces
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