On the homotopy type of CW-complexes with aspherical fundamental group

J. Harlander, Jacqueline A. Jensen

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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 n-dimensional groups G for which there exist homotopically distinct (G, n)-complexes on the level χmin (G, n) + 1. In the case where n = 2 these examples are algebraic.

Original languageEnglish
Pages (from-to)3000-3006
Number of pages7
JournalTopology and its Applications
Volume153
Issue number15
DOIs
StatePublished - 1 Sep 2006

Keywords

  • 2-Dimensional complex
  • Homotopy-type
  • Stably-free modules

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