On the proper homotopy type of locally compact A^2_n-polyhedra

Fernando Muro

On the proper homotopy type of locally compact A^2_n-polyhedra

Algebraic Topology 2007-05-23 v1

Authors: Fernando Muro

Abstract

In this paper we address the classification problem for locally compact (n-1)-connected CW-complexes with dimension less or equal than n+2 up to proper homotopy type. We obtain complete classification theorems in terms of purely algebraic data in those cases where the representation type of the involved algebra is finite. For this we define new quadratic functors in controlled algebra and new homotopy and cohomology invariants in proper homotopy theory.

Keywords

proper homotopy type locally compact polyhedra cw complexes controlled algebra quadratic functors homotopy invariants

Cite

@article{arxiv.math/0605213,
  title  = {On the proper homotopy type of locally compact A^2_n-polyhedra},
  author = {Fernando Muro},
  journal= {arXiv preprint arXiv:math/0605213},
  year   = {2007}
}

Comments

100 pages

Related papers

View all related →