A pinching theorem for homotopy spheres

Karsten Grove, Peter Petersen

Type: Article

Publication Date: 1990-01-01

Citations: 38

DOI: https://doi.org/10.1090/s0894-0347-1990-1049696-6

Abstract

The (length) excess of a triangle measures how much the triangle inequality fails to be an equality.This notion was first studied seriously in [AG].We say that a (bounded) metric space X = (X, d) has excess :5 e if there are points p, q E X such that d(p, x)+d(x, q) ~ d(p, q)+e for all x EX.The excess, e(X) , of X is the infimum of all e ~ 0 where X has excess ~ e.

Locations

Journal of the American Mathematical Society - View - PDF

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