2 citations · 2 across the 5 of their papers we have counts for
6 papers
Finite-Dimensional Protori Are Adelic Tori
Wayne Lewis
We show the category of finite-dimensional compact connected abelian groups (finite-dimensional protori) {\it is} the category of {\it adelic tori}, for which there is a complete L…
Structure of Finite-Dimensional Protori
Wayne Lewis
A Structure Theorem for Protori is derived for the category of finite-dimensional protori(compact connected abelian groups), which details the interplay between the properties of d…
Protori and Torsion-Free Abelian Groups
Wayne Lewis
The Resolution Theorem for Compact Abelian Groups is applied to show that the profinite subgroups of a finite-dimensional compact connected abelian group (protorus) which induce to…
The Main Decomposition of Finite-Dimensional Protori
Wayne Lewis, Adolf Mader
A protorus is a compact connected abelian group. We use a result on finite rank torsion-free abelian groups and Pontryagin Duality to considerably generalize a well-known factoriza…
The Lattice of Profinite Subgroups of Protori
Wayne Lewis
Compact connected abelian groups, or protori, have intrinsic structural characteristics that present for the entire category. In the case of finite-dimensional torus-free protori,…
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.