A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Polyhedral homotopy-spheres

1960
*
Bulletin of the American Mathematical Society
*

It has been conjectured that a manifold which is a homotopy sphere is topologically a sphere. This conjecture has implications, for example, in the theory of differentiate structures on spheres (see, e.g., [3, p. 33]). Here I shall sketch a proof of the following theorem: Let M be a piecewise-linear manifold of dimension n^7, which has the same homotopy-type as the n-sphere S n . Then there is a piecewiselinear equivalence of M-{point} with euclidean n-space\ in particular, M is topologically

doi:10.1090/s0002-9904-1960-10511-3
fatcat:ubzlpqkyb5gndm3nb2ej5jjmji