9 citations · 38 across the 21 of their papers we have counts for
4 papers · 1 filter
On compacta not admitting a stable intersection in R^n
Michael Levin
Compacta X and Y are said to admit a stable intersection in R^n if there are maps f : X -> R^n and g : Y -> R^n such that for every sufficiently close continuous approximations f'…
Extensions of maps to M(Z_m,1)
Jerzy Dydak, Michael Levin
We show that a Moore space M(Z_m,1) is an absolute extensor for finite dimensional metrizable spaces of cohomological dimension dim_{Z_m} \leq 1.
A short proof of Toruńczyk's Characterization Theorems
Jan J. Dijkstra, Michael Levin, Jan van Mill
We present short proofs of Toruńczyk's well-known characterization theorems of the Hilbert cube and Hilbert space, respectively.
Resolving rational cohomological dimension via a Cantor group action
Michael Levin
By a Cantor group we mean a topological group homeomorphic to the Cantor set. We show that a compact metric space of rational cohomological dimension can be obtained as the orb…