91 citations · 276 across the 48 of their papers we have counts for
Showing 2006Show all
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math.GT2006★ 4 cited
An infinite-dimensional phenomenon in finite-dimensional metric topology
A. Dranishnikov, S. Ferry, S. Weinberger
We show that there are homotopy equivalences between closed manifolds which are induced by cell-like maps and but which are not homotopic to homeom…
math.GR2006
Betti numbers of finitely presented groups and very rapidly growing functions
Alexander Nabutovsky, Shmuel Weinberger
Define the length of a finite presentation of a group as the sum of lengths of all relators plus the number of generators. How large can be the th Betti number ran…
math.DG2006★ 3 cited
E_7, Wirtinger inequalities, Cayley 4-form, and homotopy
Victor Bangert, Mikhail G. Katz, Steven Shnider +1
We study optimal curvature-free inequalities of the type discovered by C. Loewner and M. Gromov, using a generalisation of the Wirtinger inequality for the comass. Using a model fo…