Matrix problems, triangulated categories and stable homotopy types
Algebraic Topology
2012-01-24 v1 Category Theory
Abstract
We show how matrix problems (bimodule categories) can be used in studying triangulated categories. Then we apply the general technique to the classification of stable homotopy types of polyhedra, find out the "representation types" of such problems and give a description of stable homotopy types in finite and tame cases.
Cite
@article{arxiv.0903.5185,
title = {Matrix problems, triangulated categories and stable homotopy types},
author = {Yuriy A. Drozd},
journal= {arXiv preprint arXiv:0903.5185},
year = {2012}
}
Comments
32 pages