Spaces dominated by two-complexes

Author:
Sushil Jajodia

Journal:
Proc. Amer. Math. Soc. **82** (1981), 288-290

MSC:
Primary 57M20

MathSciNet review:
609669

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Abstract: We say a group is of geometric dimension if there is an aspherical -dimensional CW-complex with fundamental group isomorphic to . In this note, we study the following problem: Suppose is a group of geometric dimension with associated aspherical -dimensional CW-complex . Suppose further that is a CW-complex having fundamental group isomorphic to and that is dominated by a -complex. If the Wall invariant vanishes, does have the same homotopy type as where denotes the sum of copies of the -sphere ?

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DOI:
https://doi.org/10.1090/S0002-9939-1981-0609669-8

Article copyright:
© Copyright 1981
American Mathematical Society