On the Homotopy Type of CW-Complexes with Aspherical Fundamental Group

  title={On the Homotopy Type of CW-Complexes with Aspherical Fundamental Group},
  author={Jens Harlander and Jacqueline A. Jensen},
This paper is concerned with the homotopy type distinction of finite CW-complexes. A (G,n)-complex is a finite n-dimensional CW-complex with fundamental-group G and vanishing higher homotopy-groups up to dimension n − 1. In case G is an n-dimensional group there is a unique (up to homotopy) (G,n)-complex on the minimal Euler-characteristic level χmin(G,n). For every n we give examples of ndimensional groups G for which there exist homotopically distinct (G,n)-complexes on the level χmin(G,n… CONTINUE READING

From This Paper

Topics from this paper.
3 Citations
8 References
Similar Papers


Publications referenced by this paper.
Showing 1-8 of 8 references

The homotopy type of a two-dimensional complex

  • M. J. Dunwoody
  • Bull. London Math. Soc. 8
  • 1976
Highly Influential
8 Excerpts

Finding π2−Generators for Exotic Homotopy Types of Two- Complexes

  • J. A. Jensen
  • Ph. D. Thesis, University of Oregon
  • 2002

Free resulotion invariants for finite groups

  • K. W. Gruenberg
  • Algebras and Representation Theory 4
  • 2001
1 Excerpt

Classification of 2-complexes whose finite fundamental group is that of a 3-manifold

  • F. R. Beyl, M. P. Latiolais, N. Waller
  • Proc. Edinburgh Math. Soc. 40
  • 1997

Infinitely many Pairwise homotopy inequivalent 2-complexes Ki with fixed π1(Ki) and χ(Ki)

  • M. Lustig
  • J. Pure Appl. Algebra 88
  • 1993
2 Excerpts

Trees of homotopy types of two-dimensional CW-complexes

  • M. N. Dyer, A. J. Sieradski
  • Comm. Math. Helv. 48
  • 1973

Similar Papers

Loading similar papers…