Vol. 43, No. 2, 1972

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The fixed point property for arcwise connected spaces: a correction

Raymond Earl Smithson and L. E. Ward

Vol. 43 (1972), No. 2, 511–514

Several years ago the second author stated a fixed point theorem for a class of arcwise connected spaces which includes the dendroids as well as certain nonunicoherent continua. Subsequently the first author detected a flaw in the proof. The present collaboration has produced a correct proof. Since the theorem has not been subsumed in the literature of the intervening years and since other authors have alluded to it, it seems desirable to publish the new proof.

Mathematical Subject Classification 2000
Primary: 54H25
Received: 7 June 1971
Revised: 29 July 1971
Published: 1 November 1972
Raymond Earl Smithson
L. E. Ward