Vol. 60, No. 1, 1975

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Strongly unicoherent continua

Donald Earl Bennett

Vol. 60 (1975), No. 1, 1–5

In this journal the author introduced the concept of strongly unicoherent continua and proved that such a continuum is aposyndetic at a point p if and only if it is connected im kleinem at p. In the present paper we obtain some new results on strongly unicoherent continua. The main theorem states that the strongly unicoherent continuum M contains a unique irreducible subcontinuum between two points p and q provided M is both aposyndetic and semi-locally-connected at p.

Mathematical Subject Classification
Primary: 54F20
Received: 1 November 1974
Published: 1 September 1975
Donald Earl Bennett