Homotopy smoothing certain PL-manifolds

Schafer, James A.

doi:10.1090/S0002-9939-1975-0368020-9

Homotopy smoothing certain PL-manifolds
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Proc. Amer. Math. Soc. 50 (1975), 399-402 Request permission

Abstract:

It is shown any simply connected almost parallelizable PL-manifold of dimension $4k + 2 \ne {2^j} - 2 \geq 6$ has the homotopy type of a smooth manifold if and only if $M$ is stably parallelizable.

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