Vol. 47, No. 2, 1973

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Terminal subcontinua of hereditarily unicoherent continua

George Rudolph Gordh, Jr.

Vol. 47 (1973), No. 2, 457–464

The notion of terminal subcontinuum of a continuum is introduced as a generalization of the idea of terminal point and is used to study the structure of a large class of hereditarily unicoherent Hausdorff continua. The class contains all hereditarily unicoherent metric continua and all hereditarily decomposable, hereditarily unicoherent Hausdorff continua. The major result is that every member of is irreducible about the union of its indecomposable terminal subcontinua. The known result that a hereditarily decomposable, hereditarily unicoherent Hausdorff continuum is irreducible about its terminal points is a corollary.

Mathematical Subject Classification 2000
Primary: 54F55
Received: 27 March 1972
Revised: 9 June 1972
Published: 1 August 1973
George Rudolph Gordh, Jr.