M. Levin

activity

20012004

collaborators

4 papers

math.GT2004

Universal acyclic resolutions for arbitrary coefficient groups

Michael Levin

We prove that for every compactum $X$ and every integer $n \geq 2$ there are a compactum $Z$ of $dim \leq n + 1$ and a surjective $U V^{n - 1}$ -map $r: Z \lo X$ such that for every abe…

math.GN2002

Universal acyclic resolutions for finitely generated coefficient groups

Michael Levin

We prove that for every compactum X and every integer $n \geq 2$ there are a compactum Z of $dim \leq n$ and a surjective $U V^{n - 1}$ -map $r: Z \lo X$ having the property that: for…

math.GN2002

Acyclic resolutions for arbitrary groups

Michael Levin

We prove that for every abelian group G and every compactum X with $dim_{G} X \leq n \geq 2$ there is a G-acyclic resolution $r: Z \lo X$ from a compactum Z with $dim_{G} Z \leq n$ a…

math.GN2001

Some mapping theorems for extensional dimension

Michael Levin, Wayne Lewis

We present some results related to theorems of Pasynkov and Torunczyk on the geometry of maps of finite dimensional compacta.