Finite ℤ/2ℤ-CW complexes which are not homotopically stratified by orbit type

Nicas, Andrew; Rosenthal, David

doi:10.1090/S0002-9939-08-09647-0

Finite ${\mathbb Z}/2{\mathbb Z}$-CW complexes which are not homotopically stratified by orbit type
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by Andrew Nicas and David Rosenthal PDF

Proc. Amer. Math. Soc. 137 (2009), 381-384 Request permission

Abstract:

For $k \geq 2$, we construct finite ${\mathbb Z}/2{\mathbb Z}$-CW complexes with one ${\mathbb Z}/2{\mathbb Z}$-cell in dimensions $0$, $1$ and $k+1$. Using a theorem of Bruce Hughes, we show that these complexes are not homotopically stratified by orbit type in the sense of Quinn.

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