Vol. 43, No. 2, 1972

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Continua in which only semi-aposyndetic subcontinua separate

Leland Edward Rogers

Vol. 43 (1972), No. 2, 493–502

E. J. Vought has characterized hereditarily locally connected compact metric continua as those which are hereditarily aposyndetic, and (subsequently) as those which are aposyndetic and have only aposyndetic separating subcontinua. Also, Vought characterized hereditarily locally connected, cyclically connected compact metric continua as those having no cut point and separated only by aposyndetic subcontinua. In this paper it is shown that similar characterizatious can be obtained when a larger class of subcontinua are allowed to separate, namely those which are semi-aposyndetic.

Mathematical Subject Classification
Primary: 54F20
Received: 22 June 1971
Revised: 1 March 1972
Published: 1 November 1972
Leland Edward Rogers