Vol. 24, No. 3, 1968

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Bisection into small annuli

Moses Glasner, Richard Emanuel Katz and Mitsuru Nakai

Vol. 24 (1968), No. 3, 457–461
Abstract

In a Riemannian manifold the modulus of a relatively compact set with border consisting of two sets of components is introduced to measure its magnitude from the viewpoint of harmonic functions. The existence of a subdivision into two sets each having modulus arbitrarily close to one is established.

Mathematical Subject Classification
Primary: 30.45
Milestones
Received: 17 March 1967
Published: 1 March 1968
Authors
Moses Glasner
Richard Emanuel Katz
Mitsuru Nakai