Simple homotopy type of finite $2$-complexes with finite abelian fundamental group
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- by M. Paul Latiolais PDF
- Trans. Amer. Math. Soc. 293 (1986), 655-662 Request permission
Abstract:
Theorem 1. Let $K$ be a finite $2$-dimensional $CW$-complex with ${\pi _1}(K)$ finite and abelian. Then every element of the Whitehead group of $K$ is realizable as the torsion of a self-homotopy equivalence on $K$. Theorem 2. Homotopy equivalence and simple homotopy equivalence are the same for finite $2$-dimensional $CW$-complexes with finite abelian fundamental groups.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 293 (1986), 655-662
- MSC: Primary 57M20; Secondary 57Q10
- DOI: https://doi.org/10.1090/S0002-9947-1986-0816317-X
- MathSciNet review: 816317