Vol. 23, No. 3, 1967

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Characterization of the continuous images of all pseudocircles

Lawrence Fearnley

Vol. 23 (1967), No. 3, 491–513

The purpose of this paper is to establish a characterization of the continuous images of all pseudo-circles, and develop techniques which may be used in the further investigation of the mapping properties of pseudo-circles. The principal conclusions drawn in this paper from this characterization are the theorems that every planar circularly chainable continuum is the continuous image of a pseudo-circle and every snake-like continuum is the continuous image of a pseudo-circle.

Mathematical Subject Classification
Primary: 54.55
Received: 7 June 1965
Published: 1 December 1967
Lawrence Fearnley