A stability range for topological 4-manifolds

Hambleton, Ian

doi:10.1090/tran/9020

A stability range for topological $4$-manifolds
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by Ian Hambleton

Trans. Amer. Math. Soc. 376 (2023), 8769-8793

DOI: https://doi.org/10.1090/tran/9020

Published electronically: August 29, 2023

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Abstract:

We introduce a new stable range invariant for the classification of closed, oriented topological $4$-manifolds (up to $s$-cobordism), after stabilization by connected sum with a uniformly bounded number of copies of $S^2\times S^2$.

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